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Finding the Fourth Proportional to 24,481.44, 36,710.88 and 7,838.16

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Solution

The fourth proportional to 24,481.44, 36,710.88 and 7,838.16 is: 11,753.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,481.44 : 36,710.88 = 7,838.16 : x
  2. Step 2: Convert to fraction form
    24,481.44/36,710.88 = 7,838.16/x
  3. Step 3: Cross multiply
    24,481.44x = 36,710.88 × 7,838.16
  4. Step 4: Simplify right side
    24,481.44x = 287,745,751.18
  5. Step 5: Solve for x
    x = 287,745,751.18/24,481.44
  6. Step 6: Final answer
    x = 11,753.63

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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.