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Finding the Fourth Proportional to 5,213.56, 7,814.16 and 2,747.12

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Solution

The fourth proportional to 5,213.56, 7,814.16 and 2,747.12 is: 4,117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.56 : 7,814.16 = 2,747.12 : x
  2. Step 2: Convert to fraction form
    5,213.56/7,814.16 = 2,747.12/x
  3. Step 3: Cross multiply
    5,213.56x = 7,814.16 × 2,747.12
  4. Step 4: Simplify right side
    5,213.56x = 21,466,435.22
  5. Step 5: Solve for x
    x = 21,466,435.22/5,213.56
  6. Step 6: Final answer
    x = 4,117.42

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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.