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Finding the Fourth Proportional to 6,197.54, 9,296.25 and 1,517.57

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Solution

The fourth proportional to 6,197.54, 9,296.25 and 1,517.57 is: 2,276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.54 : 9,296.25 = 1,517.57 : x
  2. Step 2: Convert to fraction form
    6,197.54/9,296.25 = 1,517.57/x
  3. Step 3: Cross multiply
    6,197.54x = 9,296.25 × 1,517.57
  4. Step 4: Simplify right side
    6,197.54x = 14,107,710.11
  5. Step 5: Solve for x
    x = 14,107,710.11/6,197.54
  6. Step 6: Final answer
    x = 2,276.34

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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.