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Finding the Fourth Proportional to 6,146.66, 9,221.21 and 2,251.37

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Solution

The fourth proportional to 6,146.66, 9,221.21 and 2,251.37 is: 3,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.66 : 9,221.21 = 2,251.37 : x
  2. Step 2: Convert to fraction form
    6,146.66/9,221.21 = 2,251.37/x
  3. Step 3: Cross multiply
    6,146.66x = 9,221.21 × 2,251.37
  4. Step 4: Simplify right side
    6,146.66x = 20,760,355.56
  5. Step 5: Solve for x
    x = 20,760,355.56/6,146.66
  6. Step 6: Final answer
    x = 3,377.50

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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.