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Finding the Fourth Proportional to 6,686.31, 10,029.06 and 2,006.34

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Solution

The fourth proportional to 6,686.31, 10,029.06 and 2,006.34 is: 3,009.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.31 : 10,029.06 = 2,006.34 : x
  2. Step 2: Convert to fraction form
    6,686.31/10,029.06 = 2,006.34/x
  3. Step 3: Cross multiply
    6,686.31x = 10,029.06 × 2,006.34
  4. Step 4: Simplify right side
    6,686.31x = 20,121,704.24
  5. Step 5: Solve for x
    x = 20,121,704.24/6,686.31
  6. Step 6: Final answer
    x = 3,009.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.