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Finding the Fourth Proportional to 18,493.98, 27,751.89 and 9,729.57

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Solution

The fourth proportional to 18,493.98, 27,751.89 and 9,729.57 is: 14,600.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,493.98 : 27,751.89 = 9,729.57 : x
  2. Step 2: Convert to fraction form
    18,493.98/27,751.89 = 9,729.57/x
  3. Step 3: Cross multiply
    18,493.98x = 27,751.89 × 9,729.57
  4. Step 4: Simplify right side
    18,493.98x = 270,013,956.39
  5. Step 5: Solve for x
    x = 270,013,956.39/18,493.98
  6. Step 6: Final answer
    x = 14,600.10

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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.