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Finding the Fourth Proportional to 6,463.68, 9,696.96 and 2,766.08

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Solution

The fourth proportional to 6,463.68, 9,696.96 and 2,766.08 is: 4,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.68 : 9,696.96 = 2,766.08 : x
  2. Step 2: Convert to fraction form
    6,463.68/9,696.96 = 2,766.08/x
  3. Step 3: Cross multiply
    6,463.68x = 9,696.96 × 2,766.08
  4. Step 4: Simplify right side
    6,463.68x = 26,822,567.12
  5. Step 5: Solve for x
    x = 26,822,567.12/6,463.68
  6. Step 6: Final answer
    x = 4,149.74

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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.