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Finding the Fourth Proportional to 8,474.57, 12,710.42 and 2,234.65

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Solution

The fourth proportional to 8,474.57, 12,710.42 and 2,234.65 is: 3,351.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.57 : 12,710.42 = 2,234.65 : x
  2. Step 2: Convert to fraction form
    8,474.57/12,710.42 = 2,234.65/x
  3. Step 3: Cross multiply
    8,474.57x = 12,710.42 × 2,234.65
  4. Step 4: Simplify right side
    8,474.57x = 28,403,297.10
  5. Step 5: Solve for x
    x = 28,403,297.10/8,474.57
  6. Step 6: Final answer
    x = 3,351.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.