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Finding the Fourth Proportional to 7,027.62, 9,697.29 and 3,883.62

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Solution

The fourth proportional to 7,027.62, 9,697.29 and 3,883.62 is: 5,358.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.62 : 9,697.29 = 3,883.62 : x
  2. Step 2: Convert to fraction form
    7,027.62/9,697.29 = 3,883.62/x
  3. Step 3: Cross multiply
    7,027.62x = 9,697.29 × 3,883.62
  4. Step 4: Simplify right side
    7,027.62x = 37,660,589.39
  5. Step 5: Solve for x
    x = 37,660,589.39/7,027.62
  6. Step 6: Final answer
    x = 5,358.94

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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.