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Finding the Fourth Proportional to 6,093, 9,140.94 and 1,989

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Solution

The fourth proportional to 6,093, 9,140.94 and 1,989 is: 2,983.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093 : 9,140.94 = 1,989 : x
  2. Step 2: Convert to fraction form
    6,093/9,140.94 = 1,989/x
  3. Step 3: Cross multiply
    6,093x = 9,140.94 × 1,989
  4. Step 4: Simplify right side
    6,093x = 18,181,329.66
  5. Step 5: Solve for x
    x = 18,181,329.66/6,093
  6. Step 6: Final answer
    x = 2,983.97

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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.