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Finding the Fourth Proportional to 15,742.68, 23,614.42 and 5,212.68

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Solution

The fourth proportional to 15,742.68, 23,614.42 and 5,212.68 is: 7,819.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,742.68 : 23,614.42 = 5,212.68 : x
  2. Step 2: Convert to fraction form
    15,742.68/23,614.42 = 5,212.68/x
  3. Step 3: Cross multiply
    15,742.68x = 23,614.42 × 5,212.68
  4. Step 4: Simplify right side
    15,742.68x = 123,094,414.85
  5. Step 5: Solve for x
    x = 123,094,414.85/15,742.68
  6. Step 6: Final answer
    x = 7,819.15

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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.