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Finding the Fourth Proportional to 6,374.54, 9,564.24 and 2,481.68

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Solution

The fourth proportional to 6,374.54, 9,564.24 and 2,481.68 is: 3,723.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.54 : 9,564.24 = 2,481.68 : x
  2. Step 2: Convert to fraction form
    6,374.54/9,564.24 = 2,481.68/x
  3. Step 3: Cross multiply
    6,374.54x = 9,564.24 × 2,481.68
  4. Step 4: Simplify right side
    6,374.54x = 23,735,383.12
  5. Step 5: Solve for x
    x = 23,735,383.12/6,374.54
  6. Step 6: Final answer
    x = 3,723.47

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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.