Question

Solve each proportion. If necessary, round to nearest hundredth.

$\frac{7}{10}=\frac{m}{14}$

Short answer

The value of $m=9.8$.

Step-by-step solution

Step-1. Define equivalent ratios.

Equivalent ratios are two ratios which have same relationship between the numbers.

Step-2. Find the cross products.

The given ratios can be simplified by doing cross product:

$\begin{array}{c}\frac{7}{10}=\frac{m}{14}\\ 14\left(7\right)=\left(m\right)10\end{array}$

Step-3. Simplify for m.

To further simplify, divide each side by 10.

$\begin{array}{c}14\left(7\right)=\left(m\right)10\\ \text{98}=10m\\ \frac{\text{98}}{10}=\frac{10m}{10}\\ m=9.8\end{array}$

Therefore, the value of $m=9.8$.