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Finding the Fourth Proportional to 8,049.90, 12,074.85 and 6,834.90

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Solution

The fourth proportional to 8,049.90, 12,074.85 and 6,834.90 is: 10,252.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.90 : 12,074.85 = 6,834.90 : x
  2. Step 2: Convert to fraction form
    8,049.90/12,074.85 = 6,834.90/x
  3. Step 3: Cross multiply
    8,049.90x = 12,074.85 × 6,834.90
  4. Step 4: Simplify right side
    8,049.90x = 82,530,392.27
  5. Step 5: Solve for x
    x = 82,530,392.27/8,049.90
  6. Step 6: Final answer
    x = 10,252.35

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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.