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Finding the Fourth Proportional to 10,375, 14,317.50 and 6,649

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Solution

The fourth proportional to 10,375, 14,317.50 and 6,649 is: 9,175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375 : 14,317.50 = 6,649 : x
  2. Step 2: Convert to fraction form
    10,375/14,317.50 = 6,649/x
  3. Step 3: Cross multiply
    10,375x = 14,317.50 × 6,649
  4. Step 4: Simplify right side
    10,375x = 95,197,057.50
  5. Step 5: Solve for x
    x = 95,197,057.50/10,375
  6. Step 6: Final answer
    x = 9,175.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.