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Finding the Fourth Proportional to 24,478.11, 36,722.57 and 7,839.50

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Solution

The fourth proportional to 24,478.11, 36,722.57 and 7,839.50 is: 11,760.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,478.11 : 36,722.57 = 7,839.50 : x
  2. Step 2: Convert to fraction form
    24,478.11/36,722.57 = 7,839.50/x
  3. Step 3: Cross multiply
    24,478.11x = 36,722.57 × 7,839.50
  4. Step 4: Simplify right side
    24,478.11x = 287,886,364.70
  5. Step 5: Solve for x
    x = 287,886,364.70/24,478.11
  6. Step 6: Final answer
    x = 11,760.97

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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.