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Finding the Fourth Proportional to 7,189.43, 9,919.31 and 4,164.26

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Solution

The fourth proportional to 7,189.43, 9,919.31 and 4,164.26 is: 5,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.43 : 9,919.31 = 4,164.26 : x
  2. Step 2: Convert to fraction form
    7,189.43/9,919.31 = 4,164.26/x
  3. Step 3: Cross multiply
    7,189.43x = 9,919.31 × 4,164.26
  4. Step 4: Simplify right side
    7,189.43x = 41,306,515.44
  5. Step 5: Solve for x
    x = 41,306,515.44/7,189.43
  6. Step 6: Final answer
    x = 5,745.45

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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.