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Finding the Fourth Proportional to 19,834, 29,751 and 7,522

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Solution

The fourth proportional to 19,834, 29,751 and 7,522 is: 11,283

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,834 : 29,751 = 7,522 : x
  2. Step 2: Convert to fraction form
    19,834/29,751 = 7,522/x
  3. Step 3: Cross multiply
    19,834x = 29,751 × 7,522
  4. Step 4: Simplify right side
    19,834x = 223,787,022
  5. Step 5: Solve for x
    x = 223,787,022/19,834
  6. Step 6: Final answer
    x = 11,283

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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.