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Finding the Fourth Proportional to 6,081, 9,121.50 and 1,977

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Solution

The fourth proportional to 6,081, 9,121.50 and 1,977 is: 2,965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,081 : 9,121.50 = 1,977 : x
  2. Step 2: Convert to fraction form
    6,081/9,121.50 = 1,977/x
  3. Step 3: Cross multiply
    6,081x = 9,121.50 × 1,977
  4. Step 4: Simplify right side
    6,081x = 18,033,205.50
  5. Step 5: Solve for x
    x = 18,033,205.50/6,081
  6. Step 6: Final answer
    x = 2,965.50

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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.