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Finding the Fourth Proportional to 22,791.79, 34,188 and 8,000.83

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Solution

The fourth proportional to 22,791.79, 34,188 and 8,000.83 is: 12,001.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,791.79 : 34,188 = 8,000.83 : x
  2. Step 2: Convert to fraction form
    22,791.79/34,188 = 8,000.83/x
  3. Step 3: Cross multiply
    22,791.79x = 34,188 × 8,000.83
  4. Step 4: Simplify right side
    22,791.79x = 273,532,376.04
  5. Step 5: Solve for x
    x = 273,532,376.04/22,791.79
  6. Step 6: Final answer
    x = 12,001.36

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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.