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Finding the Fourth Proportional to 6,671, 9,206.52 and 3,877.04

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Solution

The fourth proportional to 6,671, 9,206.52 and 3,877.04 is: 5,350.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671 : 9,206.52 = 3,877.04 : x
  2. Step 2: Convert to fraction form
    6,671/9,206.52 = 3,877.04/x
  3. Step 3: Cross multiply
    6,671x = 9,206.52 × 3,877.04
  4. Step 4: Simplify right side
    6,671x = 35,694,046.30
  5. Step 5: Solve for x
    x = 35,694,046.30/6,671
  6. Step 6: Final answer
    x = 5,350.63

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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.