Question

Use equivalent ratios to solve the proportion.

$\frac{11}{13}=\frac{x}{26}$

Short answer

The solution of proportion $\frac{11}{13}=\frac{x}{26}$is $x=22$.

Step-by-step solution

Step 1. Given Information.

The proportion is $\frac{11}{13}=\frac{x}{26}$.

Step 2. Calculation.

Therefore, the proportion is

$\begin{array}{c}\frac{11}{13}=\frac{x}{26}\\ 11\cdot 26=13\cdot x\left[\text{crossproduct}\right]\\ 286=13x\left[\text{multiply}\right]\\ x=\frac{286}{13}\left[\text{crossproduct}\right]\\ x=22\left[\text{divide}\right]\end{array}$

Step 3. Conclusion.

The solution of proportion $\frac{11}{13}=\frac{x}{26}$is$x=22$.