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Finding the Fourth Proportional to 12,892.70, 17,791.86 and 7,227.44

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Solution

The fourth proportional to 12,892.70, 17,791.86 and 7,227.44 is: 9,973.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.70 : 17,791.86 = 7,227.44 : x
  2. Step 2: Convert to fraction form
    12,892.70/17,791.86 = 7,227.44/x
  3. Step 3: Cross multiply
    12,892.70x = 17,791.86 × 7,227.44
  4. Step 4: Simplify right side
    12,892.70x = 128,589,600.64
  5. Step 5: Solve for x
    x = 128,589,600.64/12,892.70
  6. Step 6: Final answer
    x = 9,973.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.