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Finding the Fourth Proportional to 18,493.20, 27,757.20 and 9,734.40

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Solution

The fourth proportional to 18,493.20, 27,757.20 and 9,734.40 is: 14,610.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,493.20 : 27,757.20 = 9,734.40 : x
  2. Step 2: Convert to fraction form
    18,493.20/27,757.20 = 9,734.40/x
  3. Step 3: Cross multiply
    18,493.20x = 27,757.20 × 9,734.40
  4. Step 4: Simplify right side
    18,493.20x = 270,199,687.68
  5. Step 5: Solve for x
    x = 270,199,687.68/18,493.20
  6. Step 6: Final answer
    x = 14,610.76

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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.