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Finding the Fourth Proportional to 6,112.67, 9,156.67 and 2,821.19

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Solution

The fourth proportional to 6,112.67, 9,156.67 and 2,821.19 is: 4,226.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.67 : 9,156.67 = 2,821.19 : x
  2. Step 2: Convert to fraction form
    6,112.67/9,156.67 = 2,821.19/x
  3. Step 3: Cross multiply
    6,112.67x = 9,156.67 × 2,821.19
  4. Step 4: Simplify right side
    6,112.67x = 25,832,653.00
  5. Step 5: Solve for x
    x = 25,832,653.00/6,112.67
  6. Step 6: Final answer
    x = 4,226.09

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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.