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Finding the Fourth Proportional to 8,134.92, 12,202.29 and 1,978.92

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Solution

The fourth proportional to 8,134.92, 12,202.29 and 1,978.92 is: 2,968.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.92 : 12,202.29 = 1,978.92 : x
  2. Step 2: Convert to fraction form
    8,134.92/12,202.29 = 1,978.92/x
  3. Step 3: Cross multiply
    8,134.92x = 12,202.29 × 1,978.92
  4. Step 4: Simplify right side
    8,134.92x = 24,147,355.73
  5. Step 5: Solve for x
    x = 24,147,355.73/8,134.92
  6. Step 6: Final answer
    x = 2,968.36

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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.