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Finding the Fourth Proportional to 6,576.50, 9,869.16 and 3,114.02

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Solution

The fourth proportional to 6,576.50, 9,869.16 and 3,114.02 is: 4,673.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.50 : 9,869.16 = 3,114.02 : x
  2. Step 2: Convert to fraction form
    6,576.50/9,869.16 = 3,114.02/x
  3. Step 3: Cross multiply
    6,576.50x = 9,869.16 × 3,114.02
  4. Step 4: Simplify right side
    6,576.50x = 30,732,761.62
  5. Step 5: Solve for x
    x = 30,732,761.62/6,576.50
  6. Step 6: Final answer
    x = 4,673.12

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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.