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Finding the Fourth Proportional to 6,689.13, 10,034.23 and 2,072.13

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Solution

The fourth proportional to 6,689.13, 10,034.23 and 2,072.13 is: 3,108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.13 : 10,034.23 = 2,072.13 : x
  2. Step 2: Convert to fraction form
    6,689.13/10,034.23 = 2,072.13/x
  3. Step 3: Cross multiply
    6,689.13x = 10,034.23 × 2,072.13
  4. Step 4: Simplify right side
    6,689.13x = 20,792,229.01
  5. Step 5: Solve for x
    x = 20,792,229.01/6,689.13
  6. Step 6: Final answer
    x = 3,108.36

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1.5x scale

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.