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Finding the Fourth Proportional to 6,806.91, 9,379.44 and 5,213.46

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Solution

The fourth proportional to 6,806.91, 9,379.44 and 5,213.46 is: 7,183.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.91 : 9,379.44 = 5,213.46 : x
  2. Step 2: Convert to fraction form
    6,806.91/9,379.44 = 5,213.46/x
  3. Step 3: Cross multiply
    6,806.91x = 9,379.44 × 5,213.46
  4. Step 4: Simplify right side
    6,806.91x = 48,899,335.26
  5. Step 5: Solve for x
    x = 48,899,335.26/6,806.91
  6. Step 6: Final answer
    x = 7,183.78

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1.5x scale

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.