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Finding the Fourth Proportional to 6,093.67, 9,140.51 and 2,198.08

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Solution

The fourth proportional to 6,093.67, 9,140.51 and 2,198.08 is: 3,297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.67 : 9,140.51 = 2,198.08 : x
  2. Step 2: Convert to fraction form
    6,093.67/9,140.51 = 2,198.08/x
  3. Step 3: Cross multiply
    6,093.67x = 9,140.51 × 2,198.08
  4. Step 4: Simplify right side
    6,093.67x = 20,091,565.82
  5. Step 5: Solve for x
    x = 20,091,565.82/6,093.67
  6. Step 6: Final answer
    x = 3,297.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.