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Finding the Fourth Proportional to 10,497.92, 15,747.20 and 4,342.40

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Solution

The fourth proportional to 10,497.92, 15,747.20 and 4,342.40 is: 6,513.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.92 : 15,747.20 = 4,342.40 : x
  2. Step 2: Convert to fraction form
    10,497.92/15,747.20 = 4,342.40/x
  3. Step 3: Cross multiply
    10,497.92x = 15,747.20 × 4,342.40
  4. Step 4: Simplify right side
    10,497.92x = 68,380,641.28
  5. Step 5: Solve for x
    x = 68,380,641.28/10,497.92
  6. Step 6: Final answer
    x = 6,513.73

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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.