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Finding the Fourth Proportional to 6,850.62, 10,277.18 and 2,171.80

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Solution

The fourth proportional to 6,850.62, 10,277.18 and 2,171.80 is: 3,258.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.62 : 10,277.18 = 2,171.80 : x
  2. Step 2: Convert to fraction form
    6,850.62/10,277.18 = 2,171.80/x
  3. Step 3: Cross multiply
    6,850.62x = 10,277.18 × 2,171.80
  4. Step 4: Simplify right side
    6,850.62x = 22,319,979.52
  5. Step 5: Solve for x
    x = 22,319,979.52/6,850.62
  6. Step 6: Final answer
    x = 3,258.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.