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Finding the Fourth Proportional to 24,481.50, 36,724.86 and 7,835.58

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Solution

The fourth proportional to 24,481.50, 36,724.86 and 7,835.58 is: 11,754.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,481.50 : 36,724.86 = 7,835.58 : x
  2. Step 2: Convert to fraction form
    24,481.50/36,724.86 = 7,835.58/x
  3. Step 3: Cross multiply
    24,481.50x = 36,724.86 × 7,835.58
  4. Step 4: Simplify right side
    24,481.50x = 287,760,578.52
  5. Step 5: Solve for x
    x = 287,760,578.52/24,481.50
  6. Step 6: Final answer
    x = 11,754.21

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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.