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Finding the Fourth Proportional to 6,134.89, 9,202.67 and 1,974.59

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Solution

The fourth proportional to 6,134.89, 9,202.67 and 1,974.59 is: 2,961.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.89 : 9,202.67 = 1,974.59 : x
  2. Step 2: Convert to fraction form
    6,134.89/9,202.67 = 1,974.59/x
  3. Step 3: Cross multiply
    6,134.89x = 9,202.67 × 1,974.59
  4. Step 4: Simplify right side
    6,134.89x = 18,171,500.16
  5. Step 5: Solve for x
    x = 18,171,500.16/6,134.89
  6. Step 6: Final answer
    x = 2,961.99

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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.