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Finding the Fourth Proportional to 8,170, 12,255 and 2,014

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Solution

The fourth proportional to 8,170, 12,255 and 2,014 is: 3,021

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170 : 12,255 = 2,014 : x
  2. Step 2: Convert to fraction form
    8,170/12,255 = 2,014/x
  3. Step 3: Cross multiply
    8,170x = 12,255 × 2,014
  4. Step 4: Simplify right side
    8,170x = 24,681,570
  5. Step 5: Solve for x
    x = 24,681,570/8,170
  6. Step 6: Final answer
    x = 3,021

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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.