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Finding the Fourth Proportional to 6,331.75, 9,497.76 and 2,171.74

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Solution

The fourth proportional to 6,331.75, 9,497.76 and 2,171.74 is: 3,257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.75 : 9,497.76 = 2,171.74 : x
  2. Step 2: Convert to fraction form
    6,331.75/9,497.76 = 2,171.74/x
  3. Step 3: Cross multiply
    6,331.75x = 9,497.76 × 2,171.74
  4. Step 4: Simplify right side
    6,331.75x = 20,626,665.30
  5. Step 5: Solve for x
    x = 20,626,665.30/6,331.75
  6. Step 6: Final answer
    x = 3,257.66

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1.5x scale

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.