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Finding the Fourth Proportional to 6,388.82, 9,583.68 and 1,708.73

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Solution

The fourth proportional to 6,388.82, 9,583.68 and 1,708.73 is: 2,563.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.82 : 9,583.68 = 1,708.73 : x
  2. Step 2: Convert to fraction form
    6,388.82/9,583.68 = 1,708.73/x
  3. Step 3: Cross multiply
    6,388.82x = 9,583.68 × 1,708.73
  4. Step 4: Simplify right side
    6,388.82x = 16,375,921.53
  5. Step 5: Solve for x
    x = 16,375,921.53/6,388.82
  6. Step 6: Final answer
    x = 2,563.22

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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.