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Finding the Fourth Proportional to 24,497.42, 36,728.04 and 7,847.82

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Solution

The fourth proportional to 24,497.42, 36,728.04 and 7,847.82 is: 11,765.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,497.42 : 36,728.04 = 7,847.82 : x
  2. Step 2: Convert to fraction form
    24,497.42/36,728.04 = 7,847.82/x
  3. Step 3: Cross multiply
    24,497.42x = 36,728.04 × 7,847.82
  4. Step 4: Simplify right side
    24,497.42x = 288,235,046.87
  5. Step 5: Solve for x
    x = 288,235,046.87/24,497.42
  6. Step 6: Final answer
    x = 11,765.93

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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.