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Solve the proportion below.

[tex]\[ \frac{9}{81} = \frac{x}{9} \][/tex]

[tex]\[ x = \][/tex]

A. 9
B. 3
C. 18
D. 1


Sagot :

To solve the given proportion [tex]\( \frac{9}{81} = \frac{x}{9} \)[/tex] for [tex]\( x \)[/tex], follow these steps:

1. Set Up the Proportion:

The given proportion is:
[tex]\[ \frac{9}{81} = \frac{x}{9} \][/tex]

2. Cross-Multiply:

Cross-multiplication helps to eliminate the fractions. Cross-multiply the two fractions:
[tex]\[ 9 \times 9 = 81 \times x \][/tex]
which simplifies to:
[tex]\[ 81 = 81x \][/tex]

3. Solve for [tex]\( x \)[/tex]:

To isolate [tex]\( x \)[/tex], divide both sides of the equation by 81:
[tex]\[ x = \frac{81}{81} \][/tex]
Simplifying the right-hand side:
[tex]\[ x = 1 \][/tex]

4. Conclusion:

Therefore, the value of [tex]\( x \)[/tex] is [tex]\( 1 \)[/tex].

Given the choices:
- A. 9
- B. 3
- C. 18
- D. 1

The correct answer is:

D. 1