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Finding the Fourth Proportional to 5,614.26, 7,747.65 and 3,096.48

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Solution

The fourth proportional to 5,614.26, 7,747.65 and 3,096.48 is: 4,273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.26 : 7,747.65 = 3,096.48 : x
  2. Step 2: Convert to fraction form
    5,614.26/7,747.65 = 3,096.48/x
  3. Step 3: Cross multiply
    5,614.26x = 7,747.65 × 3,096.48
  4. Step 4: Simplify right side
    5,614.26x = 23,990,443.27
  5. Step 5: Solve for x
    x = 23,990,443.27/5,614.26
  6. Step 6: Final answer
    x = 4,273.13

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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.