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Finding the Fourth Proportional to 6,463.84, 9,693.42 and 2,766.32

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Solution

The fourth proportional to 6,463.84, 9,693.42 and 2,766.32 is: 4,148.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.84 : 9,693.42 = 2,766.32 : x
  2. Step 2: Convert to fraction form
    6,463.84/9,693.42 = 2,766.32/x
  3. Step 3: Cross multiply
    6,463.84x = 9,693.42 × 2,766.32
  4. Step 4: Simplify right side
    6,463.84x = 26,815,101.61
  5. Step 5: Solve for x
    x = 26,815,101.61/6,463.84
  6. Step 6: Final answer
    x = 4,148.48

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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.