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Finding the Fourth Proportional to 6,512.64, 9,772.64 and 3,049.92

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Solution

The fourth proportional to 6,512.64, 9,772.64 and 3,049.92 is: 4,576.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.64 : 9,772.64 = 3,049.92 : x
  2. Step 2: Convert to fraction form
    6,512.64/9,772.64 = 3,049.92/x
  3. Step 3: Cross multiply
    6,512.64x = 9,772.64 × 3,049.92
  4. Step 4: Simplify right side
    6,512.64x = 29,805,770.19
  5. Step 5: Solve for x
    x = 29,805,770.19/6,512.64
  6. Step 6: Final answer
    x = 4,576.60

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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.