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Finding the Fourth Proportional to 7,183.17, 9,913.95 and 4,198.41

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Solution

The fourth proportional to 7,183.17, 9,913.95 and 4,198.41 is: 5,794.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.17 : 9,913.95 = 4,198.41 : x
  2. Step 2: Convert to fraction form
    7,183.17/9,913.95 = 4,198.41/x
  3. Step 3: Cross multiply
    7,183.17x = 9,913.95 × 4,198.41
  4. Step 4: Simplify right side
    7,183.17x = 41,622,826.82
  5. Step 5: Solve for x
    x = 41,622,826.82/7,183.17
  6. Step 6: Final answer
    x = 5,794.49

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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.