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Finding the Fourth Proportional to 6,758.66, 10,137.78 and 2,078.48

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Solution

The fourth proportional to 6,758.66, 10,137.78 and 2,078.48 is: 3,117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.66 : 10,137.78 = 2,078.48 : x
  2. Step 2: Convert to fraction form
    6,758.66/10,137.78 = 2,078.48/x
  3. Step 3: Cross multiply
    6,758.66x = 10,137.78 × 2,078.48
  4. Step 4: Simplify right side
    6,758.66x = 21,071,198.32
  5. Step 5: Solve for x
    x = 21,071,198.32/6,758.66
  6. Step 6: Final answer
    x = 3,117.66

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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.