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Finding the Fourth Proportional to 6,649.16, 9,175.95 and 3,664.95

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Solution

The fourth proportional to 6,649.16, 9,175.95 and 3,664.95 is: 5,057.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.16 : 9,175.95 = 3,664.95 : x
  2. Step 2: Convert to fraction form
    6,649.16/9,175.95 = 3,664.95/x
  3. Step 3: Cross multiply
    6,649.16x = 9,175.95 × 3,664.95
  4. Step 4: Simplify right side
    6,649.16x = 33,629,397.95
  5. Step 5: Solve for x
    x = 33,629,397.95/6,649.16
  6. Step 6: Final answer
    x = 5,057.69

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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.