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Finding the Fourth Proportional to 5,947.26, 8,207.22 and 3,294.64

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Solution

The fourth proportional to 5,947.26, 8,207.22 and 3,294.64 is: 4,546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.26 : 8,207.22 = 3,294.64 : x
  2. Step 2: Convert to fraction form
    5,947.26/8,207.22 = 3,294.64/x
  3. Step 3: Cross multiply
    5,947.26x = 8,207.22 × 3,294.64
  4. Step 4: Simplify right side
    5,947.26x = 27,039,835.30
  5. Step 5: Solve for x
    x = 27,039,835.30/5,947.26
  6. Step 6: Final answer
    x = 4,546.60

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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.