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Finding the Fourth Proportional to 10,952.68, 15,114.70 and 5,916.90

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Solution

The fourth proportional to 10,952.68, 15,114.70 and 5,916.90 is: 8,165.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.68 : 15,114.70 = 5,916.90 : x
  2. Step 2: Convert to fraction form
    10,952.68/15,114.70 = 5,916.90/x
  3. Step 3: Cross multiply
    10,952.68x = 15,114.70 × 5,916.90
  4. Step 4: Simplify right side
    10,952.68x = 89,432,168.43
  5. Step 5: Solve for x
    x = 89,432,168.43/10,952.68
  6. Step 6: Final answer
    x = 8,165.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.