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Finding the Fourth Proportional to 6,553, 9,043.68 and 3,759.04

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Solution

The fourth proportional to 6,553, 9,043.68 and 3,759.04 is: 5,187.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553 : 9,043.68 = 3,759.04 : x
  2. Step 2: Convert to fraction form
    6,553/9,043.68 = 3,759.04/x
  3. Step 3: Cross multiply
    6,553x = 9,043.68 × 3,759.04
  4. Step 4: Simplify right side
    6,553x = 33,995,554.87
  5. Step 5: Solve for x
    x = 33,995,554.87/6,553
  6. Step 6: Final answer
    x = 5,187.78

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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.