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Finding the Fourth Proportional to 6,013.97, 9,012.71 and 3,382.75

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Solution

The fourth proportional to 6,013.97, 9,012.71 and 3,382.75 is: 5,069.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013.97 : 9,012.71 = 3,382.75 : x
  2. Step 2: Convert to fraction form
    6,013.97/9,012.71 = 3,382.75/x
  3. Step 3: Cross multiply
    6,013.97x = 9,012.71 × 3,382.75
  4. Step 4: Simplify right side
    6,013.97x = 30,487,730.68
  5. Step 5: Solve for x
    x = 30,487,730.68/6,013.97
  6. Step 6: Final answer
    x = 5,069.49

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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.