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Finding the Fourth Proportional to 6,563.92, 9,839.64 and 4,217.32

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Solution

The fourth proportional to 6,563.92, 9,839.64 and 4,217.32 is: 6,321.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.92 : 9,839.64 = 4,217.32 : x
  2. Step 2: Convert to fraction form
    6,563.92/9,839.64 = 4,217.32/x
  3. Step 3: Cross multiply
    6,563.92x = 9,839.64 × 4,217.32
  4. Step 4: Simplify right side
    6,563.92x = 41,496,910.56
  5. Step 5: Solve for x
    x = 41,496,910.56/6,563.92
  6. Step 6: Final answer
    x = 6,321.97

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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.