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Finding the Fourth Proportional to 24,400.42, 36,584.07 and 7,755.46

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Solution

The fourth proportional to 24,400.42, 36,584.07 and 7,755.46 is: 11,627.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,400.42 : 36,584.07 = 7,755.46 : x
  2. Step 2: Convert to fraction form
    24,400.42/36,584.07 = 7,755.46/x
  3. Step 3: Cross multiply
    24,400.42x = 36,584.07 × 7,755.46
  4. Step 4: Simplify right side
    24,400.42x = 283,726,291.52
  5. Step 5: Solve for x
    x = 283,726,291.52/24,400.42
  6. Step 6: Final answer
    x = 11,627.93

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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.