To solve the equation [tex]\(\frac{7}{4} = \frac{3}{x}\)[/tex] for [tex]\(x\)[/tex], follow these steps:
1. Cross-multiply to clear the fractions:
[tex]\[
7 \cdot x = 4 \cdot 3
\][/tex]
2. Multiply the numbers on each side:
[tex]\[
7x = 12
\][/tex]
3. Solve for [tex]\(x\)[/tex] by isolating [tex]\(x\)[/tex]. To do this, divide both sides of the equation by 7:
[tex]\[
x = \frac{12}{7}
\][/tex]
4. Perform the division to find the value of [tex]\(x\)[/tex]:
[tex]\[
x \approx 1.7142857142857142
\][/tex]
5. Round the result to the nearest tenth:
[tex]\[
x \approx 1.7
\][/tex]
Therefore, the value of [tex]\(x\)[/tex] rounded to the nearest tenth is [tex]\(1.7\)[/tex].
