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Finding the Fourth Proportional to 6,844.38, 10,268.11 and 2,164.67

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Solution

The fourth proportional to 6,844.38, 10,268.11 and 2,164.67 is: 3,247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.38 : 10,268.11 = 2,164.67 : x
  2. Step 2: Convert to fraction form
    6,844.38/10,268.11 = 2,164.67/x
  3. Step 3: Cross multiply
    6,844.38x = 10,268.11 × 2,164.67
  4. Step 4: Simplify right side
    6,844.38x = 22,227,098.05
  5. Step 5: Solve for x
    x = 22,227,098.05/6,844.38
  6. Step 6: Final answer
    x = 3,247.50

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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.