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Finding the Fourth Proportional to 8,138.70, 11,231.49 and 4,412.70

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Solution

The fourth proportional to 8,138.70, 11,231.49 and 4,412.70 is: 6,089.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.70 : 11,231.49 = 4,412.70 : x
  2. Step 2: Convert to fraction form
    8,138.70/11,231.49 = 4,412.70/x
  3. Step 3: Cross multiply
    8,138.70x = 11,231.49 × 4,412.70
  4. Step 4: Simplify right side
    8,138.70x = 49,561,195.92
  5. Step 5: Solve for x
    x = 49,561,195.92/8,138.70
  6. Step 6: Final answer
    x = 6,089.57

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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.