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Finding the Fourth Proportional to 13,720.50, 18,934.49 and 7,432.88

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Solution

The fourth proportional to 13,720.50, 18,934.49 and 7,432.88 is: 10,257.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720.50 : 18,934.49 = 7,432.88 : x
  2. Step 2: Convert to fraction form
    13,720.50/18,934.49 = 7,432.88/x
  3. Step 3: Cross multiply
    13,720.50x = 18,934.49 × 7,432.88
  4. Step 4: Simplify right side
    13,720.50x = 140,737,715.94
  5. Step 5: Solve for x
    x = 140,737,715.94/13,720.50
  6. Step 6: Final answer
    x = 10,257.48

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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.