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Finding the Fourth Proportional to 13,761.72, 18,989.64 and 7,793.28

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Solution

The fourth proportional to 13,761.72, 18,989.64 and 7,793.28 is: 10,753.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.72 : 18,989.64 = 7,793.28 : x
  2. Step 2: Convert to fraction form
    13,761.72/18,989.64 = 7,793.28/x
  3. Step 3: Cross multiply
    13,761.72x = 18,989.64 × 7,793.28
  4. Step 4: Simplify right side
    13,761.72x = 147,991,581.62
  5. Step 5: Solve for x
    x = 147,991,581.62/13,761.72
  6. Step 6: Final answer
    x = 10,753.86

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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.