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Finding the Fourth Proportional to 7,183.91, 9,912.88 and 4,199.15

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Solution

The fourth proportional to 7,183.91, 9,912.88 and 4,199.15 is: 5,794.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.91 : 9,912.88 = 4,199.15 : x
  2. Step 2: Convert to fraction form
    7,183.91/9,912.88 = 4,199.15/x
  3. Step 3: Cross multiply
    7,183.91x = 9,912.88 × 4,199.15
  4. Step 4: Simplify right side
    7,183.91x = 41,625,670.05
  5. Step 5: Solve for x
    x = 41,625,670.05/7,183.91
  6. Step 6: Final answer
    x = 5,794.29

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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.