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Finding the Fourth Proportional to 6,576.59, 9,865.49 and 1,896.54

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Solution

The fourth proportional to 6,576.59, 9,865.49 and 1,896.54 is: 2,844.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.59 : 9,865.49 = 1,896.54 : x
  2. Step 2: Convert to fraction form
    6,576.59/9,865.49 = 1,896.54/x
  3. Step 3: Cross multiply
    6,576.59x = 9,865.49 × 1,896.54
  4. Step 4: Simplify right side
    6,576.59x = 18,710,286.92
  5. Step 5: Solve for x
    x = 18,710,286.92/6,576.59
  6. Step 6: Final answer
    x = 2,844.99

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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.