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Finding the Fourth Proportional to 6,712.50, 10,067.40 and 2,330.14

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Solution

The fourth proportional to 6,712.50, 10,067.40 and 2,330.14 is: 3,494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.50 : 10,067.40 = 2,330.14 : x
  2. Step 2: Convert to fraction form
    6,712.50/10,067.40 = 2,330.14/x
  3. Step 3: Cross multiply
    6,712.50x = 10,067.40 × 2,330.14
  4. Step 4: Simplify right side
    6,712.50x = 23,458,451.44
  5. Step 5: Solve for x
    x = 23,458,451.44/6,712.50
  6. Step 6: Final answer
    x = 3,494.74

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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.