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Finding the Fourth Proportional to 6,684.84, 10,027.44 and 3,393.48

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Solution

The fourth proportional to 6,684.84, 10,027.44 and 3,393.48 is: 5,090.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.84 : 10,027.44 = 3,393.48 : x
  2. Step 2: Convert to fraction form
    6,684.84/10,027.44 = 3,393.48/x
  3. Step 3: Cross multiply
    6,684.84x = 10,027.44 × 3,393.48
  4. Step 4: Simplify right side
    6,684.84x = 34,027,917.09
  5. Step 5: Solve for x
    x = 34,027,917.09/6,684.84
  6. Step 6: Final answer
    x = 5,090.31

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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.