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Finding the Fourth Proportional to 6,496.90, 9,728.75 and 3,571.99

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Solution

The fourth proportional to 6,496.90, 9,728.75 and 3,571.99 is: 5,348.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.90 : 9,728.75 = 3,571.99 : x
  2. Step 2: Convert to fraction form
    6,496.90/9,728.75 = 3,571.99/x
  3. Step 3: Cross multiply
    6,496.90x = 9,728.75 × 3,571.99
  4. Step 4: Simplify right side
    6,496.90x = 34,750,979.85
  5. Step 5: Solve for x
    x = 34,750,979.85/6,496.90
  6. Step 6: Final answer
    x = 5,348.86

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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.