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Finding the Fourth Proportional to 8,202.99, 12,296.97 and 3,983.79

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Solution

The fourth proportional to 8,202.99, 12,296.97 and 3,983.79 is: 5,972.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.99 : 12,296.97 = 3,983.79 : x
  2. Step 2: Convert to fraction form
    8,202.99/12,296.97 = 3,983.79/x
  3. Step 3: Cross multiply
    8,202.99x = 12,296.97 × 3,983.79
  4. Step 4: Simplify right side
    8,202.99x = 48,988,546.12
  5. Step 5: Solve for x
    x = 48,988,546.12/8,202.99
  6. Step 6: Final answer
    x = 5,972.04

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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.