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Finding the Fourth Proportional to 6,697.26, 9,242.01 and 3,672.31

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Solution

The fourth proportional to 6,697.26, 9,242.01 and 3,672.31 is: 5,067.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.26 : 9,242.01 = 3,672.31 : x
  2. Step 2: Convert to fraction form
    6,697.26/9,242.01 = 3,672.31/x
  3. Step 3: Cross multiply
    6,697.26x = 9,242.01 × 3,672.31
  4. Step 4: Simplify right side
    6,697.26x = 33,939,507.38
  5. Step 5: Solve for x
    x = 33,939,507.38/6,697.26
  6. Step 6: Final answer
    x = 5,067.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.