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Finding the Fourth Proportional to 6,757.78, 10,135.43 and 1,827.82

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Solution

The fourth proportional to 6,757.78, 10,135.43 and 1,827.82 is: 2,741.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.78 : 10,135.43 = 1,827.82 : x
  2. Step 2: Convert to fraction form
    6,757.78/10,135.43 = 1,827.82/x
  3. Step 3: Cross multiply
    6,757.78x = 10,135.43 × 1,827.82
  4. Step 4: Simplify right side
    6,757.78x = 18,525,695.04
  5. Step 5: Solve for x
    x = 18,525,695.04/6,757.78
  6. Step 6: Final answer
    x = 2,741.39

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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.