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Finding the Fourth Proportional to 6,501.50, 9,759.28 and 3,221.54

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Solution

The fourth proportional to 6,501.50, 9,759.28 and 3,221.54 is: 4,835.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.50 : 9,759.28 = 3,221.54 : x
  2. Step 2: Convert to fraction form
    6,501.50/9,759.28 = 3,221.54/x
  3. Step 3: Cross multiply
    6,501.50x = 9,759.28 × 3,221.54
  4. Step 4: Simplify right side
    6,501.50x = 31,439,862.09
  5. Step 5: Solve for x
    x = 31,439,862.09/6,501.50
  6. Step 6: Final answer
    x = 4,835.79

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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.