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Finding the Fourth Proportional to 6,387.50, 9,576.81 and 2,686.73

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Solution

The fourth proportional to 6,387.50, 9,576.81 and 2,686.73 is: 4,028.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.50 : 9,576.81 = 2,686.73 : x
  2. Step 2: Convert to fraction form
    6,387.50/9,576.81 = 2,686.73/x
  3. Step 3: Cross multiply
    6,387.50x = 9,576.81 × 2,686.73
  4. Step 4: Simplify right side
    6,387.50x = 25,730,254.85
  5. Step 5: Solve for x
    x = 25,730,254.85/6,387.50
  6. Step 6: Final answer
    x = 4,028.22

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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.