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Finding the Fourth Proportional to 6,644.36, 9,169.34 and 3,659.99

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Solution

The fourth proportional to 6,644.36, 9,169.34 and 3,659.99 is: 5,050.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.36 : 9,169.34 = 3,659.99 : x
  2. Step 2: Convert to fraction form
    6,644.36/9,169.34 = 3,659.99/x
  3. Step 3: Cross multiply
    6,644.36x = 9,169.34 × 3,659.99
  4. Step 4: Simplify right side
    6,644.36x = 33,559,628.56
  5. Step 5: Solve for x
    x = 33,559,628.56/6,644.36
  6. Step 6: Final answer
    x = 5,050.84

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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.