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Finding the Fourth Proportional to 23,524, 35,286 and 7,108

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Solution

The fourth proportional to 23,524, 35,286 and 7,108 is: 10,662

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,524 : 35,286 = 7,108 : x
  2. Step 2: Convert to fraction form
    23,524/35,286 = 7,108/x
  3. Step 3: Cross multiply
    23,524x = 35,286 × 7,108
  4. Step 4: Simplify right side
    23,524x = 250,812,888
  5. Step 5: Solve for x
    x = 250,812,888/23,524
  6. Step 6: Final answer
    x = 10,662

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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.