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Finding the Fourth Proportional to 6,611.77, 9,912.93 and 3,099.81

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Solution

The fourth proportional to 6,611.77, 9,912.93 and 3,099.81 is: 4,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611.77 : 9,912.93 = 3,099.81 : x
  2. Step 2: Convert to fraction form
    6,611.77/9,912.93 = 3,099.81/x
  3. Step 3: Cross multiply
    6,611.77x = 9,912.93 × 3,099.81
  4. Step 4: Simplify right side
    6,611.77x = 30,728,199.54
  5. Step 5: Solve for x
    x = 30,728,199.54/6,611.77
  6. Step 6: Final answer
    x = 4,647.50

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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.