To solve the proportion [tex]\(\frac{7}{17} = \frac{10}{x}\)[/tex], we will use the method of cross multiplication. Here are the steps:
1. Set up the proportion:
[tex]\[
\frac{7}{17} = \frac{10}{x}
\][/tex]
2. Cross multiply to eliminate the denominators:
[tex]\[
7 \times x = 17 \times 10
\][/tex]
3. Simplify the equation:
[tex]\[
7x = 170
\][/tex]
4. Solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{170}{7}
\][/tex]
5. Perform the division to find [tex]\( x \)[/tex]:
[tex]\[
x \approx 24.285714285714285
\][/tex]
6. Round the result to the nearest tenth:
[tex]\[
x \approx 24.3
\][/tex]
Thus, the value of [tex]\( x \)[/tex] is approximately [tex]\( 24.3 \)[/tex] when rounded to the nearest tenth.
