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Finding the Fourth Proportional to 6,546.08, 9,815.28 and 2,648.16

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Solution

The fourth proportional to 6,546.08, 9,815.28 and 2,648.16 is: 3,970.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.08 : 9,815.28 = 2,648.16 : x
  2. Step 2: Convert to fraction form
    6,546.08/9,815.28 = 2,648.16/x
  3. Step 3: Cross multiply
    6,546.08x = 9,815.28 × 2,648.16
  4. Step 4: Simplify right side
    6,546.08x = 25,992,431.88
  5. Step 5: Solve for x
    x = 25,992,431.88/6,546.08
  6. Step 6: Final answer
    x = 3,970.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.