To solve the equation \( c:1.8 = 11:6 \), we can express it as a proportion. This means we can write it as:
\[ \frac{c}{1.8} = \frac{11}{6} \]
Now, to find \( c \), we can cross-multiply:
\[ c \cdot 6 = 1.8 \cdot 11 \]
Calculating \( 1.8 \cdot 11 \):
\[ 1.8 \cdot 11 = 19.8 \]
Now, we have:
\[ 6c = 19.8 \]
Next, divide both sides by 6:
\[ c = \frac{19.8}{6} = 3.3 \]
So, the value of \( c \) is \( 3.3 \).