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Finding the Fourth Proportional to 6,758.69, 10,137.65 and 1,827.97

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Solution

The fourth proportional to 6,758.69, 10,137.65 and 1,827.97 is: 2,741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.69 : 10,137.65 = 1,827.97 : x
  2. Step 2: Convert to fraction form
    6,758.69/10,137.65 = 1,827.97/x
  3. Step 3: Cross multiply
    6,758.69x = 10,137.65 × 1,827.97
  4. Step 4: Simplify right side
    6,758.69x = 18,531,285.59
  5. Step 5: Solve for x
    x = 18,531,285.59/6,758.69
  6. Step 6: Final answer
    x = 2,741.85

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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.