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Finding the Fourth Proportional to 23,734.82, 35,601.84 and 9,691.76

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Solution

The fourth proportional to 23,734.82, 35,601.84 and 9,691.76 is: 14,537.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,734.82 : 35,601.84 = 9,691.76 : x
  2. Step 2: Convert to fraction form
    23,734.82/35,601.84 = 9,691.76/x
  3. Step 3: Cross multiply
    23,734.82x = 35,601.84 × 9,691.76
  4. Step 4: Simplify right side
    23,734.82x = 345,044,488.84
  5. Step 5: Solve for x
    x = 345,044,488.84/23,734.82
  6. Step 6: Final answer
    x = 14,537.48

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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.