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Finding the Fourth Proportional to 7,208.26, 9,947.38 and 3,896.26

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Solution

The fourth proportional to 7,208.26, 9,947.38 and 3,896.26 is: 5,376.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.26 : 9,947.38 = 3,896.26 : x
  2. Step 2: Convert to fraction form
    7,208.26/9,947.38 = 3,896.26/x
  3. Step 3: Cross multiply
    7,208.26x = 9,947.38 × 3,896.26
  4. Step 4: Simplify right side
    7,208.26x = 38,757,578.80
  5. Step 5: Solve for x
    x = 38,757,578.80/7,208.26
  6. Step 6: Final answer
    x = 5,376.83

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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.