To check if \( w = 6.61 \) is a solution to the equation
\[ 1 = \frac{w}{6.61} \]
we can substitute \( w \) with \( 6.61 \).
Substituting gives:
\[ 1 = \frac{6.61}{6.61} \]
Now, calculating the right side:
\[ \frac{6.61}{6.61} = 1 \]
Since both sides are equal:
\[ 1 = 1 \]
Thus, the answer is yes, \( w = 6.61 \) is a solution to the equation.