Answer :

To find the value of [tex]\( x \)[/tex] in the equation [tex]\(\frac{x}{4} = 4\)[/tex], follow these steps:

1. Start with the given equation:
[tex]\[ \frac{x}{4} = 4 \][/tex]

2. To isolate [tex]\( x \)[/tex], you need to eliminate the denominator. Multiply both sides of the equation by 4:
[tex]\[ 4 \cdot \frac{x}{4} = 4 \cdot 4 \][/tex]

3. On the left side of the equation, the 4s cancel out, leaving you with:
[tex]\[ x = 4 \cdot 4 \][/tex]

4. Simplify the right side of the equation:
[tex]\[ x = 16 \][/tex]

Therefore, the value of [tex]\( x \)[/tex] is [tex]\( 16 \)[/tex]. The correct answer is:

[tex]\[ \boxed{16} \][/tex]