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Finding the Fourth Proportional to 6,382.85, 9,564.38 and 3,258.47

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Solution

The fourth proportional to 6,382.85, 9,564.38 and 3,258.47 is: 4,882.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.85 : 9,564.38 = 3,258.47 : x
  2. Step 2: Convert to fraction form
    6,382.85/9,564.38 = 3,258.47/x
  3. Step 3: Cross multiply
    6,382.85x = 9,564.38 × 3,258.47
  4. Step 4: Simplify right side
    6,382.85x = 31,165,245.30
  5. Step 5: Solve for x
    x = 31,165,245.30/6,382.85
  6. Step 6: Final answer
    x = 4,882.66

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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.