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Finding the Fourth Proportional to 6,992, 10,489.62 and 2,375

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Solution

The fourth proportional to 6,992, 10,489.62 and 2,375 is: 3,563.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992 : 10,489.62 = 2,375 : x
  2. Step 2: Convert to fraction form
    6,992/10,489.62 = 2,375/x
  3. Step 3: Cross multiply
    6,992x = 10,489.62 × 2,375
  4. Step 4: Simplify right side
    6,992x = 24,912,847.50
  5. Step 5: Solve for x
    x = 24,912,847.50/6,992
  6. Step 6: Final answer
    x = 3,563.05

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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.