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Finding the Fourth Proportional to 6,331.27, 9,496.02 and 2,171.21

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Solution

The fourth proportional to 6,331.27, 9,496.02 and 2,171.21 is: 3,256.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.27 : 9,496.02 = 2,171.21 : x
  2. Step 2: Convert to fraction form
    6,331.27/9,496.02 = 2,171.21/x
  3. Step 3: Cross multiply
    6,331.27x = 9,496.02 × 2,171.21
  4. Step 4: Simplify right side
    6,331.27x = 20,617,853.58
  5. Step 5: Solve for x
    x = 20,617,853.58/6,331.27
  6. Step 6: Final answer
    x = 3,256.51

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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.