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Finding the Fourth Proportional to 6,842.86, 10,268.34 and 2,893.91

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Solution

The fourth proportional to 6,842.86, 10,268.34 and 2,893.91 is: 4,342.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.86 : 10,268.34 = 2,893.91 : x
  2. Step 2: Convert to fraction form
    6,842.86/10,268.34 = 2,893.91/x
  3. Step 3: Cross multiply
    6,842.86x = 10,268.34 × 2,893.91
  4. Step 4: Simplify right side
    6,842.86x = 29,715,600.47
  5. Step 5: Solve for x
    x = 29,715,600.47/6,842.86
  6. Step 6: Final answer
    x = 4,342.57

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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.