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Finding the Fourth Proportional to 24,174.93, 36,256.25 and 7,531.86

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Solution

The fourth proportional to 24,174.93, 36,256.25 and 7,531.86 is: 11,295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,174.93 : 36,256.25 = 7,531.86 : x
  2. Step 2: Convert to fraction form
    24,174.93/36,256.25 = 7,531.86/x
  3. Step 3: Cross multiply
    24,174.93x = 36,256.25 × 7,531.86
  4. Step 4: Simplify right side
    24,174.93x = 273,077,052.11
  5. Step 5: Solve for x
    x = 273,077,052.11/24,174.93
  6. Step 6: Final answer
    x = 11,295.88

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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.