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Finding the Fourth Proportional to 14,758, 22,137 and 3,814

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Solution

The fourth proportional to 14,758, 22,137 and 3,814 is: 5,721

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,758 : 22,137 = 3,814 : x
  2. Step 2: Convert to fraction form
    14,758/22,137 = 3,814/x
  3. Step 3: Cross multiply
    14,758x = 22,137 × 3,814
  4. Step 4: Simplify right side
    14,758x = 84,430,518
  5. Step 5: Solve for x
    x = 84,430,518/14,758
  6. Step 6: Final answer
    x = 5,721

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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.