Question

15.75 in
9 in
x
15 in
24 in
21.75 in
26.25 in
25.2 in

Explanation:

Step1: Set up proportion

Since the two figures are similar, the ratios of corresponding sides are equal. So, $\frac{15.75}{9}=\frac{x}{15}$.

Step2: Solve for \(x\)

Cross - multiply: $9x = 15.75\times15$.
First, calculate $15.75\times15=236.25$.
Then, $x=\frac{236.25}{9}$.
$x = 26.25$.

Answer:

26.25 in