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Finding the Fourth Proportional to 24,843.69, 37,256.42 and 8,198.80

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Solution

The fourth proportional to 24,843.69, 37,256.42 and 8,198.80 is: 12,295.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,843.69 : 37,256.42 = 8,198.80 : x
  2. Step 2: Convert to fraction form
    24,843.69/37,256.42 = 8,198.80/x
  3. Step 3: Cross multiply
    24,843.69x = 37,256.42 × 8,198.80
  4. Step 4: Simplify right side
    24,843.69x = 305,457,936.30
  5. Step 5: Solve for x
    x = 305,457,936.30/24,843.69
  6. Step 6: Final answer
    x = 12,295.19

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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.