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Finding the Fourth Proportional to 6,609.69, 9,913.83 and 2,226.60

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Solution

The fourth proportional to 6,609.69, 9,913.83 and 2,226.60 is: 3,339.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,609.69 : 9,913.83 = 2,226.60 : x
  2. Step 2: Convert to fraction form
    6,609.69/9,913.83 = 2,226.60/x
  3. Step 3: Cross multiply
    6,609.69x = 9,913.83 × 2,226.60
  4. Step 4: Simplify right side
    6,609.69x = 22,074,133.88
  5. Step 5: Solve for x
    x = 22,074,133.88/6,609.69
  6. Step 6: Final answer
    x = 3,339.66

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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.