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Finding the Fourth Proportional to 10,917, 16,375.50 and 2,709

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Solution

The fourth proportional to 10,917, 16,375.50 and 2,709 is: 4,063.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917 : 16,375.50 = 2,709 : x
  2. Step 2: Convert to fraction form
    10,917/16,375.50 = 2,709/x
  3. Step 3: Cross multiply
    10,917x = 16,375.50 × 2,709
  4. Step 4: Simplify right side
    10,917x = 44,361,229.50
  5. Step 5: Solve for x
    x = 44,361,229.50/10,917
  6. Step 6: Final answer
    x = 4,063.50

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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.