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Finding the Fourth Proportional to 24,652.75, 36,960.67 and 8,002.84

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Solution

The fourth proportional to 24,652.75, 36,960.67 and 8,002.84 is: 11,998.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,652.75 : 36,960.67 = 8,002.84 : x
  2. Step 2: Convert to fraction form
    24,652.75/36,960.67 = 8,002.84/x
  3. Step 3: Cross multiply
    24,652.75x = 36,960.67 × 8,002.84
  4. Step 4: Simplify right side
    24,652.75x = 295,790,288.29
  5. Step 5: Solve for x
    x = 295,790,288.29/24,652.75
  6. Step 6: Final answer
    x = 11,998.27

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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.