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Finding the Fourth Proportional to 8,449.50, 12,674.24 and 3,829.26

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Solution

The fourth proportional to 8,449.50, 12,674.24 and 3,829.26 is: 5,743.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.50 : 12,674.24 = 3,829.26 : x
  2. Step 2: Convert to fraction form
    8,449.50/12,674.24 = 3,829.26/x
  3. Step 3: Cross multiply
    8,449.50x = 12,674.24 × 3,829.26
  4. Step 4: Simplify right side
    8,449.50x = 48,532,960.26
  5. Step 5: Solve for x
    x = 48,532,960.26/8,449.50
  6. Step 6: Final answer
    x = 5,743.89

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Similar ratio
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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.