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Finding the Fourth Proportional to 6,517.87, 9,775.27 and 3,005.69

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Solution

The fourth proportional to 6,517.87, 9,775.27 and 3,005.69 is: 4,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.87 : 9,775.27 = 3,005.69 : x
  2. Step 2: Convert to fraction form
    6,517.87/9,775.27 = 3,005.69/x
  3. Step 3: Cross multiply
    6,517.87x = 9,775.27 × 3,005.69
  4. Step 4: Simplify right side
    6,517.87x = 29,381,386.17
  5. Step 5: Solve for x
    x = 29,381,386.17/6,517.87
  6. Step 6: Final answer
    x = 4,507.82

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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.