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Finding the Fourth Proportional to 23,728.17, 35,592.60 and 6,198

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Solution

The fourth proportional to 23,728.17, 35,592.60 and 6,198 is: 9,297.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,728.17 : 35,592.60 = 6,198 : x
  2. Step 2: Convert to fraction form
    23,728.17/35,592.60 = 6,198/x
  3. Step 3: Cross multiply
    23,728.17x = 35,592.60 × 6,198
  4. Step 4: Simplify right side
    23,728.17x = 220,602,934.80
  5. Step 5: Solve for x
    x = 220,602,934.80/23,728.17
  6. Step 6: Final answer
    x = 9,297.09

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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.