Finding the Fourth Proportional to 20,774, 31,161 and 6,182
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Solution
The fourth proportional to 20,774, 31,161 and 6,182 is: 9,273
Step by Step Solution
- Step 1: Write the proportion equation
20,774 : 31,161 = 6,182 : x - Step 2: Convert to fraction form
20,774/31,161 = 6,182/x - Step 3: Cross multiply
20,774x = 31,161 × 6,182 - Step 4: Simplify right side
20,774x = 192,637,302 - Step 5: Solve for x
x = 192,637,302/20,774 - Step 6: Final answer
x = 9,273
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.