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Finding the Fourth Proportional to 14,750, 22,125 and 3,806

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Solution

The fourth proportional to 14,750, 22,125 and 3,806 is: 5,709

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,750 : 22,125 = 3,806 : x
  2. Step 2: Convert to fraction form
    14,750/22,125 = 3,806/x
  3. Step 3: Cross multiply
    14,750x = 22,125 × 3,806
  4. Step 4: Simplify right side
    14,750x = 84,207,750
  5. Step 5: Solve for x
    x = 84,207,750/14,750
  6. Step 6: Final answer
    x = 5,709

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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.