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Finding the Fourth Proportional to 7,997.80, 12,002.10 and 5,217.70

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Solution

The fourth proportional to 7,997.80, 12,002.10 and 5,217.70 is: 7,830.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.80 : 12,002.10 = 5,217.70 : x
  2. Step 2: Convert to fraction form
    7,997.80/12,002.10 = 5,217.70/x
  3. Step 3: Cross multiply
    7,997.80x = 12,002.10 × 5,217.70
  4. Step 4: Simplify right side
    7,997.80x = 62,623,357.17
  5. Step 5: Solve for x
    x = 62,623,357.17/7,997.80
  6. Step 6: Final answer
    x = 7,830.07

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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.