Finding the Fourth Proportional to 10,947.12, 16,422 and 3,156
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Solution
The fourth proportional to 10,947.12, 16,422 and 3,156 is: 4,734.38
Step by Step Solution
- Step 1: Write the proportion equation
10,947.12 : 16,422 = 3,156 : x - Step 2: Convert to fraction form
10,947.12/16,422 = 3,156/x - Step 3: Cross multiply
10,947.12x = 16,422 × 3,156 - Step 4: Simplify right side
10,947.12x = 51,827,832 - Step 5: Solve for x
x = 51,827,832/10,947.12 - Step 6: Final answer
x = 4,734.38
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.