Answer:
x = 11.1
Explanation:
We were given that:
[tex]\frac{6}{x}=\frac{7}{13}[/tex]We will solve this simple proportion as shown below:
[tex]\begin{gathered} \frac{6}{x}=\frac{7}{13} \\ \text{Cross multiply, we have:} \\ x\times7=6\times13 \\ 7x=78 \\ \text{Divide both sides by ''7'', we have:} \\ x=\frac{78}{7} \\ x=11.143\approx11.1 \\ x=11.1 \\ \\ \therefore x=11.1(to\text{ the nearest tenth)} \end{gathered}[/tex]Therefore, x equals 11.1