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Finding the Fourth Proportional to 6,163.69, 8,505.89 and 3,511.10

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Solution

The fourth proportional to 6,163.69, 8,505.89 and 3,511.10 is: 4,845.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.69 : 8,505.89 = 3,511.10 : x
  2. Step 2: Convert to fraction form
    6,163.69/8,505.89 = 3,511.10/x
  3. Step 3: Cross multiply
    6,163.69x = 8,505.89 × 3,511.10
  4. Step 4: Simplify right side
    6,163.69x = 29,865,030.38
  5. Step 5: Solve for x
    x = 29,865,030.38/6,163.69
  6. Step 6: Final answer
    x = 4,845.32

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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.