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Finding the Fourth Proportional to 6,482.22, 9,723.39 and 2,099.69

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Solution

The fourth proportional to 6,482.22, 9,723.39 and 2,099.69 is: 3,149.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.22 : 9,723.39 = 2,099.69 : x
  2. Step 2: Convert to fraction form
    6,482.22/9,723.39 = 2,099.69/x
  3. Step 3: Cross multiply
    6,482.22x = 9,723.39 × 2,099.69
  4. Step 4: Simplify right side
    6,482.22x = 20,416,056.13
  5. Step 5: Solve for x
    x = 20,416,056.13/6,482.22
  6. Step 6: Final answer
    x = 3,149.55

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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.