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Finding the Fourth Proportional to 24,549.75, 36,824.63 and 6,081.75

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Solution

The fourth proportional to 24,549.75, 36,824.63 and 6,081.75 is: 9,122.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,549.75 : 36,824.63 = 6,081.75 : x
  2. Step 2: Convert to fraction form
    24,549.75/36,824.63 = 6,081.75/x
  3. Step 3: Cross multiply
    24,549.75x = 36,824.63 × 6,081.75
  4. Step 4: Simplify right side
    24,549.75x = 223,958,163.09
  5. Step 5: Solve for x
    x = 223,958,163.09/24,549.75
  6. Step 6: Final answer
    x = 9,122.63

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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.