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Finding the Fourth Proportional to 24,209.75, 36,314.63 and 7,793.75

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Solution

The fourth proportional to 24,209.75, 36,314.63 and 7,793.75 is: 11,690.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,209.75 : 36,314.63 = 7,793.75 : x
  2. Step 2: Convert to fraction form
    24,209.75/36,314.63 = 7,793.75/x
  3. Step 3: Cross multiply
    24,209.75x = 36,314.63 × 7,793.75
  4. Step 4: Simplify right side
    24,209.75x = 283,027,147.56
  5. Step 5: Solve for x
    x = 283,027,147.56/24,209.75
  6. Step 6: Final answer
    x = 11,690.63

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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.