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Finding the Fourth Proportional to 6,808.68, 10,206.14 and 2,646.09

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Solution

The fourth proportional to 6,808.68, 10,206.14 and 2,646.09 is: 3,966.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.68 : 10,206.14 = 2,646.09 : x
  2. Step 2: Convert to fraction form
    6,808.68/10,206.14 = 2,646.09/x
  3. Step 3: Cross multiply
    6,808.68x = 10,206.14 × 2,646.09
  4. Step 4: Simplify right side
    6,808.68x = 27,006,351.76
  5. Step 5: Solve for x
    x = 27,006,351.76/6,808.68
  6. Step 6: Final answer
    x = 3,966.46

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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.