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Finding the Fourth Proportional to 6,098, 9,146.60 and 3,177.96

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Solution

The fourth proportional to 6,098, 9,146.60 and 3,177.96 is: 4,766.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098 : 9,146.60 = 3,177.96 : x
  2. Step 2: Convert to fraction form
    6,098/9,146.60 = 3,177.96/x
  3. Step 3: Cross multiply
    6,098x = 9,146.60 × 3,177.96
  4. Step 4: Simplify right side
    6,098x = 29,067,528.94
  5. Step 5: Solve for x
    x = 29,067,528.94/6,098
  6. Step 6: Final answer
    x = 4,766.73

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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.