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Finding the Fourth Proportional to 6,496.89, 9,743.71 and 2,548.95

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Solution

The fourth proportional to 6,496.89, 9,743.71 and 2,548.95 is: 3,822.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.89 : 9,743.71 = 2,548.95 : x
  2. Step 2: Convert to fraction form
    6,496.89/9,743.71 = 2,548.95/x
  3. Step 3: Cross multiply
    6,496.89x = 9,743.71 × 2,548.95
  4. Step 4: Simplify right side
    6,496.89x = 24,836,229.60
  5. Step 5: Solve for x
    x = 24,836,229.60/6,496.89
  6. Step 6: Final answer
    x = 3,822.79

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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.