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Finding the Fourth Proportional to 24,568.26, 36,856.05 and 7,922.82

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Solution

The fourth proportional to 24,568.26, 36,856.05 and 7,922.82 is: 11,885.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,568.26 : 36,856.05 = 7,922.82 : x
  2. Step 2: Convert to fraction form
    24,568.26/36,856.05 = 7,922.82/x
  3. Step 3: Cross multiply
    24,568.26x = 36,856.05 × 7,922.82
  4. Step 4: Simplify right side
    24,568.26x = 292,003,850.06
  5. Step 5: Solve for x
    x = 292,003,850.06/24,568.26
  6. Step 6: Final answer
    x = 11,885.41

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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.