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Finding the Fourth Proportional to 6,374.60, 9,564.75 and 3,252.97

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Solution

The fourth proportional to 6,374.60, 9,564.75 and 3,252.97 is: 4,880.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.60 : 9,564.75 = 3,252.97 : x
  2. Step 2: Convert to fraction form
    6,374.60/9,564.75 = 3,252.97/x
  3. Step 3: Cross multiply
    6,374.60x = 9,564.75 × 3,252.97
  4. Step 4: Simplify right side
    6,374.60x = 31,113,796.98
  5. Step 5: Solve for x
    x = 31,113,796.98/6,374.60
  6. Step 6: Final answer
    x = 4,880.90

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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.