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Finding the Fourth Proportional to 6,481.84, 9,722.96 and 2,099.32

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Solution

The fourth proportional to 6,481.84, 9,722.96 and 2,099.32 is: 3,149.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.84 : 9,722.96 = 2,099.32 : x
  2. Step 2: Convert to fraction form
    6,481.84/9,722.96 = 2,099.32/x
  3. Step 3: Cross multiply
    6,481.84x = 9,722.96 × 2,099.32
  4. Step 4: Simplify right side
    6,481.84x = 20,411,604.39
  5. Step 5: Solve for x
    x = 20,411,604.39/6,481.84
  6. Step 6: Final answer
    x = 3,149.04

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1.5x scale

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.