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Finding the Fourth Proportional to 6,482.12, 9,724.44 and 2,099.84

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Solution

The fourth proportional to 6,482.12, 9,724.44 and 2,099.84 is: 3,150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.12 : 9,724.44 = 2,099.84 : x
  2. Step 2: Convert to fraction form
    6,482.12/9,724.44 = 2,099.84/x
  3. Step 3: Cross multiply
    6,482.12x = 9,724.44 × 2,099.84
  4. Step 4: Simplify right side
    6,482.12x = 20,419,768.09
  5. Step 5: Solve for x
    x = 20,419,768.09/6,482.12
  6. Step 6: Final answer
    x = 3,150.17

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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.