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Finding the Fourth Proportional to 6,950, 9,591 and 4,006

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Solution

The fourth proportional to 6,950, 9,591 and 4,006 is: 5,528.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950 : 9,591 = 4,006 : x
  2. Step 2: Convert to fraction form
    6,950/9,591 = 4,006/x
  3. Step 3: Cross multiply
    6,950x = 9,591 × 4,006
  4. Step 4: Simplify right side
    6,950x = 38,421,546
  5. Step 5: Solve for x
    x = 38,421,546/6,950
  6. Step 6: Final answer
    x = 5,528.28

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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.