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Finding the Fourth Proportional to 7,183.78, 9,910.29 and 4,199.74

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Solution

The fourth proportional to 7,183.78, 9,910.29 and 4,199.74 is: 5,793.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.78 : 9,910.29 = 4,199.74 : x
  2. Step 2: Convert to fraction form
    7,183.78/9,910.29 = 4,199.74/x
  3. Step 3: Cross multiply
    7,183.78x = 9,910.29 × 4,199.74
  4. Step 4: Simplify right side
    7,183.78x = 41,620,641.32
  5. Step 5: Solve for x
    x = 41,620,641.32/7,183.78
  6. Step 6: Final answer
    x = 5,793.70

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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.