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Finding the Fourth Proportional to 12,097.73, 18,149.18 and 4,200.49

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Solution

The fourth proportional to 12,097.73, 18,149.18 and 4,200.49 is: 6,301.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.73 : 18,149.18 = 4,200.49 : x
  2. Step 2: Convert to fraction form
    12,097.73/18,149.18 = 4,200.49/x
  3. Step 3: Cross multiply
    12,097.73x = 18,149.18 × 4,200.49
  4. Step 4: Simplify right side
    12,097.73x = 76,235,337.35
  5. Step 5: Solve for x
    x = 76,235,337.35/12,097.73
  6. Step 6: Final answer
    x = 6,301.63

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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.