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Finding the Fourth Proportional to 8,171.31, 11,202.94 and 8,023.68

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Solution

The fourth proportional to 8,171.31, 11,202.94 and 8,023.68 is: 11,000.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.31 : 11,202.94 = 8,023.68 : x
  2. Step 2: Convert to fraction form
    8,171.31/11,202.94 = 8,023.68/x
  3. Step 3: Cross multiply
    8,171.31x = 11,202.94 × 8,023.68
  4. Step 4: Simplify right side
    8,171.31x = 89,888,805.62
  5. Step 5: Solve for x
    x = 89,888,805.62/8,171.31
  6. Step 6: Final answer
    x = 11,000.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.