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Finding the Fourth Proportional to 11,756, 17,634 and 3,548

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Solution

The fourth proportional to 11,756, 17,634 and 3,548 is: 5,322

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756 : 17,634 = 3,548 : x
  2. Step 2: Convert to fraction form
    11,756/17,634 = 3,548/x
  3. Step 3: Cross multiply
    11,756x = 17,634 × 3,548
  4. Step 4: Simplify right side
    11,756x = 62,565,432
  5. Step 5: Solve for x
    x = 62,565,432/11,756
  6. Step 6: Final answer
    x = 5,322

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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.