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Finding the Fourth Proportional to 10,007.92, 13,810.74 and 6,471.04

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Solution

The fourth proportional to 10,007.92, 13,810.74 and 6,471.04 is: 8,929.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.92 : 13,810.74 = 6,471.04 : x
  2. Step 2: Convert to fraction form
    10,007.92/13,810.74 = 6,471.04/x
  3. Step 3: Cross multiply
    10,007.92x = 13,810.74 × 6,471.04
  4. Step 4: Simplify right side
    10,007.92x = 89,369,850.97
  5. Step 5: Solve for x
    x = 89,369,850.97/10,007.92
  6. Step 6: Final answer
    x = 8,929.91

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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.