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Finding the Fourth Proportional to 6,676, 10,014 and 1,812

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Solution

The fourth proportional to 6,676, 10,014 and 1,812 is: 2,718

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676 : 10,014 = 1,812 : x
  2. Step 2: Convert to fraction form
    6,676/10,014 = 1,812/x
  3. Step 3: Cross multiply
    6,676x = 10,014 × 1,812
  4. Step 4: Simplify right side
    6,676x = 18,145,368
  5. Step 5: Solve for x
    x = 18,145,368/6,676
  6. Step 6: Final answer
    x = 2,718

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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.