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Finding the Fourth Proportional to 6,101, 8,419.38 and 3,306.50

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Solution

The fourth proportional to 6,101, 8,419.38 and 3,306.50 is: 4,562.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101 : 8,419.38 = 3,306.50 : x
  2. Step 2: Convert to fraction form
    6,101/8,419.38 = 3,306.50/x
  3. Step 3: Cross multiply
    6,101x = 8,419.38 × 3,306.50
  4. Step 4: Simplify right side
    6,101x = 27,838,679.97
  5. Step 5: Solve for x
    x = 27,838,679.97/6,101
  6. Step 6: Final answer
    x = 4,562.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.