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Finding the Fourth Proportional to 7,997.40, 12,002.10 and 4,099.80

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Solution

The fourth proportional to 7,997.40, 12,002.10 and 4,099.80 is: 6,152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.40 : 12,002.10 = 4,099.80 : x
  2. Step 2: Convert to fraction form
    7,997.40/12,002.10 = 4,099.80/x
  3. Step 3: Cross multiply
    7,997.40x = 12,002.10 × 4,099.80
  4. Step 4: Simplify right side
    7,997.40x = 49,206,209.58
  5. Step 5: Solve for x
    x = 49,206,209.58/7,997.40
  6. Step 6: Final answer
    x = 6,152.78

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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.