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Finding the Fourth Proportional to 6,796.58, 9,367.26 and 5,849.96

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Solution

The fourth proportional to 6,796.58, 9,367.26 and 5,849.96 is: 8,062.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.58 : 9,367.26 = 5,849.96 : x
  2. Step 2: Convert to fraction form
    6,796.58/9,367.26 = 5,849.96/x
  3. Step 3: Cross multiply
    6,796.58x = 9,367.26 × 5,849.96
  4. Step 4: Simplify right side
    6,796.58x = 54,798,096.31
  5. Step 5: Solve for x
    x = 54,798,096.31/6,796.58
  6. Step 6: Final answer
    x = 8,062.60

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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.