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Finding the Fourth Proportional to 12,702.14, 17,524.88 and 8,229.32

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Solution

The fourth proportional to 12,702.14, 17,524.88 and 8,229.32 is: 11,353.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.14 : 17,524.88 = 8,229.32 : x
  2. Step 2: Convert to fraction form
    12,702.14/17,524.88 = 8,229.32/x
  3. Step 3: Cross multiply
    12,702.14x = 17,524.88 × 8,229.32
  4. Step 4: Simplify right side
    12,702.14x = 144,217,845.48
  5. Step 5: Solve for x
    x = 144,217,845.48/12,702.14
  6. Step 6: Final answer
    x = 11,353.82

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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.