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Finding the Fourth Proportional to 10,609.60, 15,914.40 and 9,702.40

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Solution

The fourth proportional to 10,609.60, 15,914.40 and 9,702.40 is: 14,553.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.60 : 15,914.40 = 9,702.40 : x
  2. Step 2: Convert to fraction form
    10,609.60/15,914.40 = 9,702.40/x
  3. Step 3: Cross multiply
    10,609.60x = 15,914.40 × 9,702.40
  4. Step 4: Simplify right side
    10,609.60x = 154,407,874.56
  5. Step 5: Solve for x
    x = 154,407,874.56/10,609.60
  6. Step 6: Final answer
    x = 14,553.60

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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.