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Finding the Fourth Proportional to 8,406, 12,609 and 2,250

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Solution

The fourth proportional to 8,406, 12,609 and 2,250 is: 3,375

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406 : 12,609 = 2,250 : x
  2. Step 2: Convert to fraction form
    8,406/12,609 = 2,250/x
  3. Step 3: Cross multiply
    8,406x = 12,609 × 2,250
  4. Step 4: Simplify right side
    8,406x = 28,370,250
  5. Step 5: Solve for x
    x = 28,370,250/8,406
  6. Step 6: Final answer
    x = 3,375

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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.