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Finding the Fourth Proportional to 6,652.32, 9,984.66 and 3,367.74

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Solution

The fourth proportional to 6,652.32, 9,984.66 and 3,367.74 is: 5,054.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.32 : 9,984.66 = 3,367.74 : x
  2. Step 2: Convert to fraction form
    6,652.32/9,984.66 = 3,367.74/x
  3. Step 3: Cross multiply
    6,652.32x = 9,984.66 × 3,367.74
  4. Step 4: Simplify right side
    6,652.32x = 33,625,738.87
  5. Step 5: Solve for x
    x = 33,625,738.87/6,652.32
  6. Step 6: Final answer
    x = 5,054.74

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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.