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Finding the Fourth Proportional to 7,198.77, 9,935.94 and 4,676.49

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Solution

The fourth proportional to 7,198.77, 9,935.94 and 4,676.49 is: 6,454.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.77 : 9,935.94 = 4,676.49 : x
  2. Step 2: Convert to fraction form
    7,198.77/9,935.94 = 4,676.49/x
  3. Step 3: Cross multiply
    7,198.77x = 9,935.94 × 4,676.49
  4. Step 4: Simplify right side
    7,198.77x = 46,465,324.05
  5. Step 5: Solve for x
    x = 46,465,324.05/7,198.77
  6. Step 6: Final answer
    x = 6,454.62

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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.