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Finding the Fourth Proportional to 6,214.98, 8,575.65 and 4,091.37

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Solution

The fourth proportional to 6,214.98, 8,575.65 and 4,091.37 is: 5,645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.98 : 8,575.65 = 4,091.37 : x
  2. Step 2: Convert to fraction form
    6,214.98/8,575.65 = 4,091.37/x
  3. Step 3: Cross multiply
    6,214.98x = 8,575.65 × 4,091.37
  4. Step 4: Simplify right side
    6,214.98x = 35,086,157.14
  5. Step 5: Solve for x
    x = 35,086,157.14/6,214.98
  6. Step 6: Final answer
    x = 5,645.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.