The problem asks us to solve the equation $6.3x = 7.776$ for $x$ and provide the answer correct to 3 decimal places.

1. Problem Description

The problem asks us to solve the equation $6.3x = 7.776$ for $x$ and provide the answer correct to 3 decimal places.

2. Solution Steps

To solve the equation $6.3x = 7.776$ for $x$, we need to isolate $x$ by dividing both sides of the equation by $6.3$.

$6.3x = 7.776$

$x = \frac{7.776}{6.3}$

Now, we calculate the value of $x$:

$x = 1.234285714...$

We need to round the answer to 3 decimal places.

The first three decimal places are 1.

2

3

4. The fourth decimal place is 2, which is less than 5, so we round down.

$x \approx 1.234$

3. Final Answer

1.234