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Finding the Fourth Proportional to 6,511.21, 9,788.43 and 5,349.82

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Solution

The fourth proportional to 6,511.21, 9,788.43 and 5,349.82 is: 8,042.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.21 : 9,788.43 = 5,349.82 : x
  2. Step 2: Convert to fraction form
    6,511.21/9,788.43 = 5,349.82/x
  3. Step 3: Cross multiply
    6,511.21x = 9,788.43 × 5,349.82
  4. Step 4: Simplify right side
    6,511.21x = 52,366,294.05
  5. Step 5: Solve for x
    x = 52,366,294.05/6,511.21
  6. Step 6: Final answer
    x = 8,042.49

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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.