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Finding the Fourth Proportional to 8,134.78, 12,201.90 and 3,451.78

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Solution

The fourth proportional to 8,134.78, 12,201.90 and 3,451.78 is: 5,177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.78 : 12,201.90 = 3,451.78 : x
  2. Step 2: Convert to fraction form
    8,134.78/12,201.90 = 3,451.78/x
  3. Step 3: Cross multiply
    8,134.78x = 12,201.90 × 3,451.78
  4. Step 4: Simplify right side
    8,134.78x = 42,118,274.38
  5. Step 5: Solve for x
    x = 42,118,274.38/8,134.78
  6. Step 6: Final answer
    x = 5,177.56

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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.