To solve for \( x \) using the geometric mean, we start by understanding that the geometric mean of two numbers \( a \) and \( b \) is given by the formula:
\[ \text{Geometric Mean} = \sqrt{a \cdot b} \]
In your question, it seems you have provided two numbers: 13 and 4. Therefore, we will calculate the geometric mean of these two numbers and set it equal to \( x \).
- Calculate the geometric mean of 13 and 4:
\[ \text{Geometric Mean} = \sqrt{13 \cdot 4} = \sqrt{52} \]
- Now we need to calculate \( \sqrt{52} \):
\[ \sqrt{52} \approx 7.211 \]
- Finally, round \( 7.211 \) to the nearest tenth:
\[ 7.2 \]
Thus, \( x \approx 7.2 \).
So, the value of \( x \) is:
\[ \boxed{7.2} \]
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