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Finding the Fourth Proportional to 14,766, 22,149 and 3,822

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Solution

The fourth proportional to 14,766, 22,149 and 3,822 is: 5,733

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,766 : 22,149 = 3,822 : x
  2. Step 2: Convert to fraction form
    14,766/22,149 = 3,822/x
  3. Step 3: Cross multiply
    14,766x = 22,149 × 3,822
  4. Step 4: Simplify right side
    14,766x = 84,653,478
  5. Step 5: Solve for x
    x = 84,653,478/14,766
  6. Step 6: Final answer
    x = 5,733

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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.