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Finding the Fourth Proportional to 13,702.62, 18,909.63 and 7,414.98

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Solution

The fourth proportional to 13,702.62, 18,909.63 and 7,414.98 is: 10,232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.62 : 18,909.63 = 7,414.98 : x
  2. Step 2: Convert to fraction form
    13,702.62/18,909.63 = 7,414.98/x
  3. Step 3: Cross multiply
    13,702.62x = 18,909.63 × 7,414.98
  4. Step 4: Simplify right side
    13,702.62x = 140,214,528.26
  5. Step 5: Solve for x
    x = 140,214,528.26/13,702.62
  6. Step 6: Final answer
    x = 10,232.68

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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.