1. **State the problem:** We are given that six tablets of soap cost 440. We need to find the cost of 11 tablets. 2. **Identify the type of proportion:** The problem involves direct proportion because the cost increases as the number of tablets increases. 3. **Formula for direct proportion:** If $x$ and $y$ are directly proportional, then $\frac{y_1}{x_1} = \frac{y_2}{x_2}$. 4. **Apply the formula:** Let $y$ be the cost and $x$ be the number of tablets. Given: $x_1 = 6$, $y_1 = 440$, $x_2 = 11$, and we want to find $y_2$. $$\frac{440}{6} = \frac{y_2}{11}$$ 5. **Solve for $y_2$:** Multiply both sides by 11: $$y_2 = 11 \times \frac{440}{6}$$ 6. **Simplify the expression:** $$y_2 = \frac{11 \times 440}{6}$$ 7. **Calculate the value:** $$y_2 = \frac{4840}{6} = 806.67$$ 8. **Interpret the result:** The cost of 11 tablets is 806.67. **Final answer:** The cost of 11 tablets is 806.67.