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Finding the Fourth Proportional to 24,834.92, 37,257.26 and 8,194.28

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Solution

The fourth proportional to 24,834.92, 37,257.26 and 8,194.28 is: 12,293.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,834.92 : 37,257.26 = 8,194.28 : x
  2. Step 2: Convert to fraction form
    24,834.92/37,257.26 = 8,194.28/x
  3. Step 3: Cross multiply
    24,834.92x = 37,257.26 × 8,194.28
  4. Step 4: Simplify right side
    24,834.92x = 305,296,420.47
  5. Step 5: Solve for x
    x = 305,296,420.47/24,834.92
  6. Step 6: Final answer
    x = 12,293.03

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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.