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Finding the Fourth Proportional to 23,940, 35,910 and 7,524

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Solution

The fourth proportional to 23,940, 35,910 and 7,524 is: 11,286

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,940 : 35,910 = 7,524 : x
  2. Step 2: Convert to fraction form
    23,940/35,910 = 7,524/x
  3. Step 3: Cross multiply
    23,940x = 35,910 × 7,524
  4. Step 4: Simplify right side
    23,940x = 270,186,840
  5. Step 5: Solve for x
    x = 270,186,840/23,940
  6. Step 6: Final answer
    x = 11,286

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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.