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Finding the Fourth Proportional to 23,163.16, 34,741.98 and 6,524.44

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Solution

The fourth proportional to 23,163.16, 34,741.98 and 6,524.44 is: 9,785.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,163.16 : 34,741.98 = 6,524.44 : x
  2. Step 2: Convert to fraction form
    23,163.16/34,741.98 = 6,524.44/x
  3. Step 3: Cross multiply
    23,163.16x = 34,741.98 × 6,524.44
  4. Step 4: Simplify right side
    23,163.16x = 226,671,963.99
  5. Step 5: Solve for x
    x = 226,671,963.99/23,163.16
  6. Step 6: Final answer
    x = 9,785.88

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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.