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Finding the Fourth Proportional to 6,489.09, 8,958.38 and 5,198.93

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Solution

The fourth proportional to 6,489.09, 8,958.38 and 5,198.93 is: 7,177.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.09 : 8,958.38 = 5,198.93 : x
  2. Step 2: Convert to fraction form
    6,489.09/8,958.38 = 5,198.93/x
  3. Step 3: Cross multiply
    6,489.09x = 8,958.38 × 5,198.93
  4. Step 4: Simplify right side
    6,489.09x = 46,573,998.22
  5. Step 5: Solve for x
    x = 46,573,998.22/6,489.09
  6. Step 6: Final answer
    x = 7,177.28

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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.