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Finding the Fourth Proportional to 6,967.90, 10,452 and 1,773.78

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Solution

The fourth proportional to 6,967.90, 10,452 and 1,773.78 is: 2,660.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.90 : 10,452 = 1,773.78 : x
  2. Step 2: Convert to fraction form
    6,967.90/10,452 = 1,773.78/x
  3. Step 3: Cross multiply
    6,967.90x = 10,452 × 1,773.78
  4. Step 4: Simplify right side
    6,967.90x = 18,539,548.56
  5. Step 5: Solve for x
    x = 18,539,548.56/6,967.90
  6. Step 6: Final answer
    x = 2,660.71

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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.