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Finding the Fourth Proportional to 6,648.99, 9,175.50 and 3,664.82

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Solution

The fourth proportional to 6,648.99, 9,175.50 and 3,664.82 is: 5,057.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.99 : 9,175.50 = 3,664.82 : x
  2. Step 2: Convert to fraction form
    6,648.99/9,175.50 = 3,664.82/x
  3. Step 3: Cross multiply
    6,648.99x = 9,175.50 × 3,664.82
  4. Step 4: Simplify right side
    6,648.99x = 33,626,510.03
  5. Step 5: Solve for x
    x = 33,626,510.03/6,648.99
  6. Step 6: Final answer
    x = 5,057.39

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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.