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Finding the Fourth Proportional to 6,081, 9,114.82 and 2,382.54

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Solution

The fourth proportional to 6,081, 9,114.82 and 2,382.54 is: 3,571.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,081 : 9,114.82 = 2,382.54 : x
  2. Step 2: Convert to fraction form
    6,081/9,114.82 = 2,382.54/x
  3. Step 3: Cross multiply
    6,081x = 9,114.82 × 2,382.54
  4. Step 4: Simplify right side
    6,081x = 21,716,423.24
  5. Step 5: Solve for x
    x = 21,716,423.24/6,081
  6. Step 6: Final answer
    x = 3,571.19

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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.