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Finding the Fourth Proportional to 6,689.06, 10,020.80 and 4,057.38

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Solution

The fourth proportional to 6,689.06, 10,020.80 and 4,057.38 is: 6,078.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.06 : 10,020.80 = 4,057.38 : x
  2. Step 2: Convert to fraction form
    6,689.06/10,020.80 = 4,057.38/x
  3. Step 3: Cross multiply
    6,689.06x = 10,020.80 × 4,057.38
  4. Step 4: Simplify right side
    6,689.06x = 40,658,193.50
  5. Step 5: Solve for x
    x = 40,658,193.50/6,689.06
  6. Step 6: Final answer
    x = 6,078.31

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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.