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Finding the Fourth Proportional to 6,121.52, 9,182.20 and 1,504.56

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Solution

The fourth proportional to 6,121.52, 9,182.20 and 1,504.56 is: 2,256.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,121.52 : 9,182.20 = 1,504.56 : x
  2. Step 2: Convert to fraction form
    6,121.52/9,182.20 = 1,504.56/x
  3. Step 3: Cross multiply
    6,121.52x = 9,182.20 × 1,504.56
  4. Step 4: Simplify right side
    6,121.52x = 13,815,170.83
  5. Step 5: Solve for x
    x = 13,815,170.83/6,121.52
  6. Step 6: Final answer
    x = 2,256.82

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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.