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Finding the Fourth Proportional to 6,689, 10,033.50 and 2,072

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Solution

The fourth proportional to 6,689, 10,033.50 and 2,072 is: 3,108

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689 : 10,033.50 = 2,072 : x
  2. Step 2: Convert to fraction form
    6,689/10,033.50 = 2,072/x
  3. Step 3: Cross multiply
    6,689x = 10,033.50 × 2,072
  4. Step 4: Simplify right side
    6,689x = 20,789,412
  5. Step 5: Solve for x
    x = 20,789,412/6,689
  6. Step 6: Final answer
    x = 3,108

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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.