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Finding the Fourth Proportional to 7,379, 10,183.02 and 4,067

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Solution

The fourth proportional to 7,379, 10,183.02 and 4,067 is: 5,612.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,379 : 10,183.02 = 4,067 : x
  2. Step 2: Convert to fraction form
    7,379/10,183.02 = 4,067/x
  3. Step 3: Cross multiply
    7,379x = 10,183.02 × 4,067
  4. Step 4: Simplify right side
    7,379x = 41,414,342.34
  5. Step 5: Solve for x
    x = 41,414,342.34/7,379
  6. Step 6: Final answer
    x = 5,612.46

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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.