To find the unknown [tex]\( x \)[/tex] in the proportion [tex]\(\frac{7}{10} = \frac{x}{2}\)[/tex], follow these steps:
1. Set up the proportion:
[tex]\[
\frac{7}{10} = \frac{x}{2}
\][/tex]
2. Cross-multiply to eliminate the fractions:
[tex]\[
7 \times 2 = 10 \times x
\][/tex]
3. Perform the multiplication on both sides of the equation:
[tex]\[
14 = 10x
\][/tex]
4. Isolate [tex]\( x \)[/tex] by dividing both sides of the equation by 10:
[tex]\[
x = \frac{14}{10}
\][/tex]
5. Simplify the fraction if possible:
[tex]\[
x = 1.4
\][/tex]
The unknown [tex]\( x \)[/tex] in the proportion [tex]\(\frac{7}{10} = \frac{x}{2}\)[/tex] is therefore [tex]\( 1.4 \)[/tex]. Given the provided answer choices, none of the options exactly match, which suggests that there might be an error in the selections given.
