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Finding the Fourth Proportional to 6,649.19, 9,175.98 and 3,664.98

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Solution

The fourth proportional to 6,649.19, 9,175.98 and 3,664.98 is: 5,057.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.19 : 9,175.98 = 3,664.98 : x
  2. Step 2: Convert to fraction form
    6,649.19/9,175.98 = 3,664.98/x
  3. Step 3: Cross multiply
    6,649.19x = 9,175.98 × 3,664.98
  4. Step 4: Simplify right side
    6,649.19x = 33,629,783.18
  5. Step 5: Solve for x
    x = 33,629,783.18/6,649.19
  6. Step 6: Final answer
    x = 5,057.73

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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.