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Finding the Fourth Proportional to 10,201.92, 15,309.12 and 5,824.32

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Solution

The fourth proportional to 10,201.92, 15,309.12 and 5,824.32 is: 8,740.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.92 : 15,309.12 = 5,824.32 : x
  2. Step 2: Convert to fraction form
    10,201.92/15,309.12 = 5,824.32/x
  3. Step 3: Cross multiply
    10,201.92x = 15,309.12 × 5,824.32
  4. Step 4: Simplify right side
    10,201.92x = 89,165,213.80
  5. Step 5: Solve for x
    x = 89,165,213.80/10,201.92
  6. Step 6: Final answer
    x = 8,740.04

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1.5x scale

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.