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Finding the Fourth Proportional to 18,493.98, 27,751.90 and 9,729.58

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Solution

The fourth proportional to 18,493.98, 27,751.90 and 9,729.58 is: 14,600.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,493.98 : 27,751.90 = 9,729.58 : x
  2. Step 2: Convert to fraction form
    18,493.98/27,751.90 = 9,729.58/x
  3. Step 3: Cross multiply
    18,493.98x = 27,751.90 × 9,729.58
  4. Step 4: Simplify right side
    18,493.98x = 270,014,331.20
  5. Step 5: Solve for x
    x = 270,014,331.20/18,493.98
  6. Step 6: Final answer
    x = 14,600.12

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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.