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Finding the Fourth Proportional to 6,504.49, 9,754.99 and 3,216.70

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Solution

The fourth proportional to 6,504.49, 9,754.99 and 3,216.70 is: 4,824.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.49 : 9,754.99 = 3,216.70 : x
  2. Step 2: Convert to fraction form
    6,504.49/9,754.99 = 3,216.70/x
  3. Step 3: Cross multiply
    6,504.49x = 9,754.99 × 3,216.70
  4. Step 4: Simplify right side
    6,504.49x = 31,378,876.33
  5. Step 5: Solve for x
    x = 31,378,876.33/6,504.49
  6. Step 6: Final answer
    x = 4,824.19

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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.