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Finding the Fourth Proportional to 6,851.62, 10,277.48 and 2,171.54

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Solution

The fourth proportional to 6,851.62, 10,277.48 and 2,171.54 is: 3,257.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.62 : 10,277.48 = 2,171.54 : x
  2. Step 2: Convert to fraction form
    6,851.62/10,277.48 = 2,171.54/x
  3. Step 3: Cross multiply
    6,851.62x = 10,277.48 × 2,171.54
  4. Step 4: Simplify right side
    6,851.62x = 22,317,958.92
  5. Step 5: Solve for x
    x = 22,317,958.92/6,851.62
  6. Step 6: Final answer
    x = 3,257.33

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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.