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Finding the Fourth Proportional to 5,947.23, 8,207.23 and 3,294.69

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Solution

The fourth proportional to 5,947.23, 8,207.23 and 3,294.69 is: 4,546.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.23 : 8,207.23 = 3,294.69 : x
  2. Step 2: Convert to fraction form
    5,947.23/8,207.23 = 3,294.69/x
  3. Step 3: Cross multiply
    5,947.23x = 8,207.23 × 3,294.69
  4. Step 4: Simplify right side
    5,947.23x = 27,040,278.61
  5. Step 5: Solve for x
    x = 27,040,278.61/5,947.23
  6. Step 6: Final answer
    x = 4,546.71

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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.