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Finding the Fourth Proportional to 7,213.74, 10,814.20 and 2,834.26

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Solution

The fourth proportional to 7,213.74, 10,814.20 and 2,834.26 is: 4,248.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.74 : 10,814.20 = 2,834.26 : x
  2. Step 2: Convert to fraction form
    7,213.74/10,814.20 = 2,834.26/x
  3. Step 3: Cross multiply
    7,213.74x = 10,814.20 × 2,834.26
  4. Step 4: Simplify right side
    7,213.74x = 30,650,254.49
  5. Step 5: Solve for x
    x = 30,650,254.49/7,213.74
  6. Step 6: Final answer
    x = 4,248.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.