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Finding the Fourth Proportional to 14,756, 22,134 and 3,812

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Solution

The fourth proportional to 14,756, 22,134 and 3,812 is: 5,718

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,756 : 22,134 = 3,812 : x
  2. Step 2: Convert to fraction form
    14,756/22,134 = 3,812/x
  3. Step 3: Cross multiply
    14,756x = 22,134 × 3,812
  4. Step 4: Simplify right side
    14,756x = 84,374,808
  5. Step 5: Solve for x
    x = 84,374,808/14,756
  6. Step 6: Final answer
    x = 5,718

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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.