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Finding the Fourth Proportional to 10,555.92, 15,833.92 and 9,337.68

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Solution

The fourth proportional to 10,555.92, 15,833.92 and 9,337.68 is: 14,006.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,555.92 : 15,833.92 = 9,337.68 : x
  2. Step 2: Convert to fraction form
    10,555.92/15,833.92 = 9,337.68/x
  3. Step 3: Cross multiply
    10,555.92x = 15,833.92 × 9,337.68
  4. Step 4: Simplify right side
    10,555.92x = 147,852,078.11
  5. Step 5: Solve for x
    x = 147,852,078.11/10,555.92
  6. Step 6: Final answer
    x = 14,006.56

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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.