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Finding the Fourth Proportional to 6,137.52, 9,206.16 and 1,520.56

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Solution

The fourth proportional to 6,137.52, 9,206.16 and 1,520.56 is: 2,280.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.52 : 9,206.16 = 1,520.56 : x
  2. Step 2: Convert to fraction form
    6,137.52/9,206.16 = 1,520.56/x
  3. Step 3: Cross multiply
    6,137.52x = 9,206.16 × 1,520.56
  4. Step 4: Simplify right side
    6,137.52x = 13,998,518.65
  5. Step 5: Solve for x
    x = 13,998,518.65/6,137.52
  6. Step 6: Final answer
    x = 2,280.81

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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.