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Finding the Fourth Proportional to 7,134.60, 10,702.16 and 2,204.40

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Solution

The fourth proportional to 7,134.60, 10,702.16 and 2,204.40 is: 3,306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.60 : 10,702.16 = 2,204.40 : x
  2. Step 2: Convert to fraction form
    7,134.60/10,702.16 = 2,204.40/x
  3. Step 3: Cross multiply
    7,134.60x = 10,702.16 × 2,204.40
  4. Step 4: Simplify right side
    7,134.60x = 23,591,841.50
  5. Step 5: Solve for x
    x = 23,591,841.50/7,134.60
  6. Step 6: Final answer
    x = 3,306.68

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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.