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Finding the Fourth Proportional to 6,252.25, 9,378.47 and 1,635.25

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Solution

The fourth proportional to 6,252.25, 9,378.47 and 1,635.25 is: 2,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,252.25 : 9,378.47 = 1,635.25 : x
  2. Step 2: Convert to fraction form
    6,252.25/9,378.47 = 1,635.25/x
  3. Step 3: Cross multiply
    6,252.25x = 9,378.47 × 1,635.25
  4. Step 4: Simplify right side
    6,252.25x = 15,336,134.89
  5. Step 5: Solve for x
    x = 15,336,134.89/6,252.25
  6. Step 6: Final answer
    x = 2,452.90

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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.