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Finding the Fourth Proportional to 6,652.26, 9,984.57 and 3,367.68

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Solution

The fourth proportional to 6,652.26, 9,984.57 and 3,367.68 is: 5,054.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.26 : 9,984.57 = 3,367.68 : x
  2. Step 2: Convert to fraction form
    6,652.26/9,984.57 = 3,367.68/x
  3. Step 3: Cross multiply
    6,652.26x = 9,984.57 × 3,367.68
  4. Step 4: Simplify right side
    6,652.26x = 33,624,836.70
  5. Step 5: Solve for x
    x = 33,624,836.70/6,652.26
  6. Step 6: Final answer
    x = 5,054.65

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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.