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Finding the Fourth Proportional to 6,183.69, 9,220.38 and 5,496.81

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Solution

The fourth proportional to 6,183.69, 9,220.38 and 5,496.81 is: 8,196.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.69 : 9,220.38 = 5,496.81 : x
  2. Step 2: Convert to fraction form
    6,183.69/9,220.38 = 5,496.81/x
  3. Step 3: Cross multiply
    6,183.69x = 9,220.38 × 5,496.81
  4. Step 4: Simplify right side
    6,183.69x = 50,682,649.50
  5. Step 5: Solve for x
    x = 50,682,649.50/6,183.69
  6. Step 6: Final answer
    x = 8,196.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.