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Finding the Fourth Proportional to 6,639, 9,161.90 and 3,695

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Solution

The fourth proportional to 6,639, 9,161.90 and 3,695 is: 5,099.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,639 : 9,161.90 = 3,695 : x
  2. Step 2: Convert to fraction form
    6,639/9,161.90 = 3,695/x
  3. Step 3: Cross multiply
    6,639x = 9,161.90 × 3,695
  4. Step 4: Simplify right side
    6,639x = 33,853,220.50
  5. Step 5: Solve for x
    x = 33,853,220.50/6,639
  6. Step 6: Final answer
    x = 5,099.14

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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.