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Finding the Fourth Proportional to 6,546.86, 9,815.11 and 3,258.16

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Solution

The fourth proportional to 6,546.86, 9,815.11 and 3,258.16 is: 4,884.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.86 : 9,815.11 = 3,258.16 : x
  2. Step 2: Convert to fraction form
    6,546.86/9,815.11 = 3,258.16/x
  3. Step 3: Cross multiply
    6,546.86x = 9,815.11 × 3,258.16
  4. Step 4: Simplify right side
    6,546.86x = 31,979,198.80
  5. Step 5: Solve for x
    x = 31,979,198.80/6,546.86
  6. Step 6: Final answer
    x = 4,884.66

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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.