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Finding the Fourth Proportional to 6,677.35, 9,214.37 and 3,651.87

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Solution

The fourth proportional to 6,677.35, 9,214.37 and 3,651.87 is: 5,039.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.35 : 9,214.37 = 3,651.87 : x
  2. Step 2: Convert to fraction form
    6,677.35/9,214.37 = 3,651.87/x
  3. Step 3: Cross multiply
    6,677.35x = 9,214.37 × 3,651.87
  4. Step 4: Simplify right side
    6,677.35x = 33,649,663.11
  5. Step 5: Solve for x
    x = 33,649,663.11/6,677.35
  6. Step 6: Final answer
    x = 5,039.38

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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.