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Finding the Fourth Proportional to 6,394.94, 9,589.66 and 2,233.70

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Solution

The fourth proportional to 6,394.94, 9,589.66 and 2,233.70 is: 3,349.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.94 : 9,589.66 = 2,233.70 : x
  2. Step 2: Convert to fraction form
    6,394.94/9,589.66 = 2,233.70/x
  3. Step 3: Cross multiply
    6,394.94x = 9,589.66 × 2,233.70
  4. Step 4: Simplify right side
    6,394.94x = 21,420,423.54
  5. Step 5: Solve for x
    x = 21,420,423.54/6,394.94
  6. Step 6: Final answer
    x = 3,349.59

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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.