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Finding the Fourth Proportional to 7,198.16, 9,935.31 and 4,686.54

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Solution

The fourth proportional to 7,198.16, 9,935.31 and 4,686.54 is: 6,468.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.16 : 9,935.31 = 4,686.54 : x
  2. Step 2: Convert to fraction form
    7,198.16/9,935.31 = 4,686.54/x
  3. Step 3: Cross multiply
    7,198.16x = 9,935.31 × 4,686.54
  4. Step 4: Simplify right side
    7,198.16x = 46,562,227.73
  5. Step 5: Solve for x
    x = 46,562,227.73/7,198.16
  6. Step 6: Final answer
    x = 6,468.63

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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.