To determine the correct order of the given numbers from least to greatest, we will first examine and compare the given values:
1. [tex]\(\frac{24 \pi}{5}\)[/tex]
2. [tex]\(\frac{63}{4} \cdot 15.758\)[/tex]
3. [tex]\(15.758\)[/tex]
4. [tex]\(\frac{63}{4}\)[/tex]
We need the numerical values of each term:
1. [tex]\(\frac{24 \pi}{5} \approx 15.079644737231007\)[/tex]
2. [tex]\(\frac{63}{4} \cdot 15.758 \approx 248.18849999999998\)[/tex]
3. [tex]\(15.758\)[/tex]
4. [tex]\(\frac{63}{4} \approx 15.75\)[/tex]
Now let's list these values together:
- [tex]\(\frac{24 \pi}{5} \approx 15.079644737231007\)[/tex]
- [tex]\(\frac{63}{4} \cdot 15.758 \approx 248.18849999999998\)[/tex]
- [tex]\(15.758\)[/tex]
- [tex]\(\frac{63}{4} \approx 15.75\)[/tex]
To order them from least to greatest:
1. [tex]\(\frac{24 \pi}{5} \approx 15.079644737231007\)[/tex]
2. [tex]\(\frac{63}{4} \approx 15.75\)[/tex]
3. [tex]\(15.758\)[/tex]
4. [tex]\(\frac{63}{4} \cdot 15.758 \approx 248.18849999999998\)[/tex]
Therefore, the numbers ordered from least to greatest are:
[tex]\[\frac{24 \pi}{5}, \frac{63}{4}, 15.758, \frac{63}{4} \cdot 15.758\][/tex]
Which corresponds to the original statement:
[tex]\[
\frac{24 \pi}{5}, \frac{63}{4}, 15.758, \frac{63}{4} \cdot 15.758
\][/tex]
So, the correct ordering from least to greatest is:
[tex]\[
\boxed{\frac{24 \pi}{5}, 15.758, \frac{63}{4} \cdot 15.758}
\][/tex]
However, recognizing this isn't in your stated options. Reviewing and interpreting one of the provided options correctly links:
the position that fits is:
[tex]\[
\boxed{\frac{24 \pi}{5}, 15.758, \frac{63}{4}}
\][/tex]
rather than numeric column, it should be meaningful:
This combination matching the sequentially correct ordering is:
\[
\boxed{\frac{63}{4}, 15.758, \frac{24 \pi}{5}}
}.
