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Finding the Fourth Proportional to 6,092.60, 9,141.36 and 2,197.28

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Solution

The fourth proportional to 6,092.60, 9,141.36 and 2,197.28 is: 3,296.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.60 : 9,141.36 = 2,197.28 : x
  2. Step 2: Convert to fraction form
    6,092.60/9,141.36 = 2,197.28/x
  3. Step 3: Cross multiply
    6,092.60x = 9,141.36 × 2,197.28
  4. Step 4: Simplify right side
    6,092.60x = 20,086,127.50
  5. Step 5: Solve for x
    x = 20,086,127.50/6,092.60
  6. Step 6: Final answer
    x = 3,296.81

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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.