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Finding the Fourth Proportional to 5,614.69, 7,748.33 and 3,096.88

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Solution

The fourth proportional to 5,614.69, 7,748.33 and 3,096.88 is: 4,273.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.69 : 7,748.33 = 3,096.88 : x
  2. Step 2: Convert to fraction form
    5,614.69/7,748.33 = 3,096.88/x
  3. Step 3: Cross multiply
    5,614.69x = 7,748.33 × 3,096.88
  4. Step 4: Simplify right side
    5,614.69x = 23,995,648.21
  5. Step 5: Solve for x
    x = 23,995,648.21/5,614.69
  6. Step 6: Final answer
    x = 4,273.73

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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.