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Finding the Fourth Proportional to 6,344.41, 9,517.52 and 1,962.21

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Solution

The fourth proportional to 6,344.41, 9,517.52 and 1,962.21 is: 2,943.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.41 : 9,517.52 = 1,962.21 : x
  2. Step 2: Convert to fraction form
    6,344.41/9,517.52 = 1,962.21/x
  3. Step 3: Cross multiply
    6,344.41x = 9,517.52 × 1,962.21
  4. Step 4: Simplify right side
    6,344.41x = 18,675,372.92
  5. Step 5: Solve for x
    x = 18,675,372.92/6,344.41
  6. Step 6: Final answer
    x = 2,943.59

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1.5x scale

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.