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Finding the Fourth Proportional to 6,712.25, 10,067.67 and 1,714.65

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Solution

The fourth proportional to 6,712.25, 10,067.67 and 1,714.65 is: 2,571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.25 : 10,067.67 = 1,714.65 : x
  2. Step 2: Convert to fraction form
    6,712.25/10,067.67 = 1,714.65/x
  3. Step 3: Cross multiply
    6,712.25x = 10,067.67 × 1,714.65
  4. Step 4: Simplify right side
    6,712.25x = 17,262,530.37
  5. Step 5: Solve for x
    x = 17,262,530.37/6,712.25
  6. Step 6: Final answer
    x = 2,571.80

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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.