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Finding the Fourth Proportional to 6,783.67, 10,175.15 and 2,833.39

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Solution

The fourth proportional to 6,783.67, 10,175.15 and 2,833.39 is: 4,249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.67 : 10,175.15 = 2,833.39 : x
  2. Step 2: Convert to fraction form
    6,783.67/10,175.15 = 2,833.39/x
  3. Step 3: Cross multiply
    6,783.67x = 10,175.15 × 2,833.39
  4. Step 4: Simplify right side
    6,783.67x = 28,830,103.22
  5. Step 5: Solve for x
    x = 28,830,103.22/6,783.67
  6. Step 6: Final answer
    x = 4,249.93

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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.