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Finding the Fourth Proportional to 6,504.75, 9,756.78 and 1,825.09

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Solution

The fourth proportional to 6,504.75, 9,756.78 and 1,825.09 is: 2,737.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.75 : 9,756.78 = 1,825.09 : x
  2. Step 2: Convert to fraction form
    6,504.75/9,756.78 = 1,825.09/x
  3. Step 3: Cross multiply
    6,504.75x = 9,756.78 × 1,825.09
  4. Step 4: Simplify right side
    6,504.75x = 17,806,952.83
  5. Step 5: Solve for x
    x = 17,806,952.83/6,504.75
  6. Step 6: Final answer
    x = 2,737.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.