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Finding the Fourth Proportional to 5,998.34, 9,002.13 and 3,917.78

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Solution

The fourth proportional to 5,998.34, 9,002.13 and 3,917.78 is: 5,879.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.34 : 9,002.13 = 3,917.78 : x
  2. Step 2: Convert to fraction form
    5,998.34/9,002.13 = 3,917.78/x
  3. Step 3: Cross multiply
    5,998.34x = 9,002.13 × 3,917.78
  4. Step 4: Simplify right side
    5,998.34x = 35,268,364.87
  5. Step 5: Solve for x
    x = 35,268,364.87/5,998.34
  6. Step 6: Final answer
    x = 5,879.69

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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.