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Finding the Fourth Proportional to 6,978.99, 9,631 and 3,835.18

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Solution

The fourth proportional to 6,978.99, 9,631 and 3,835.18 is: 5,292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.99 : 9,631 = 3,835.18 : x
  2. Step 2: Convert to fraction form
    6,978.99/9,631 = 3,835.18/x
  3. Step 3: Cross multiply
    6,978.99x = 9,631 × 3,835.18
  4. Step 4: Simplify right side
    6,978.99x = 36,936,618.58
  5. Step 5: Solve for x
    x = 36,936,618.58/6,978.99
  6. Step 6: Final answer
    x = 5,292.54

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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.