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Finding the Fourth Proportional to 6,685.97, 10,029.01 and 2,006.02

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Solution

The fourth proportional to 6,685.97, 10,029.01 and 2,006.02 is: 3,009.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.97 : 10,029.01 = 2,006.02 : x
  2. Step 2: Convert to fraction form
    6,685.97/10,029.01 = 2,006.02/x
  3. Step 3: Cross multiply
    6,685.97x = 10,029.01 × 2,006.02
  4. Step 4: Simplify right side
    6,685.97x = 20,118,394.64
  5. Step 5: Solve for x
    x = 20,118,394.64/6,685.97
  6. Step 6: Final answer
    x = 3,009.05

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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.