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Finding the Fourth Proportional to 6,394.55, 9,591.62 and 2,011.91

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Solution

The fourth proportional to 6,394.55, 9,591.62 and 2,011.91 is: 3,017.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.55 : 9,591.62 = 2,011.91 : x
  2. Step 2: Convert to fraction form
    6,394.55/9,591.62 = 2,011.91/x
  3. Step 3: Cross multiply
    6,394.55x = 9,591.62 × 2,011.91
  4. Step 4: Simplify right side
    6,394.55x = 19,297,418.18
  5. Step 5: Solve for x
    x = 19,297,418.18/6,394.55
  6. Step 6: Final answer
    x = 3,017.79

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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.