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Finding the Fourth Proportional to 6,119.14, 8,447 and 4,132.39

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Solution

The fourth proportional to 6,119.14, 8,447 and 4,132.39 is: 5,704.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,119.14 : 8,447 = 4,132.39 : x
  2. Step 2: Convert to fraction form
    6,119.14/8,447 = 4,132.39/x
  3. Step 3: Cross multiply
    6,119.14x = 8,447 × 4,132.39
  4. Step 4: Simplify right side
    6,119.14x = 34,906,298.33
  5. Step 5: Solve for x
    x = 34,906,298.33/6,119.14
  6. Step 6: Final answer
    x = 5,704.45

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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.