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Finding the Fourth Proportional to 6,603.16, 9,905.38 and 2,099.96

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Solution

The fourth proportional to 6,603.16, 9,905.38 and 2,099.96 is: 3,150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,603.16 : 9,905.38 = 2,099.96 : x
  2. Step 2: Convert to fraction form
    6,603.16/9,905.38 = 2,099.96/x
  3. Step 3: Cross multiply
    6,603.16x = 9,905.38 × 2,099.96
  4. Step 4: Simplify right side
    6,603.16x = 20,800,901.78
  5. Step 5: Solve for x
    x = 20,800,901.78/6,603.16
  6. Step 6: Final answer
    x = 3,150.14

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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.