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Finding the Fourth Proportional to 6,682.14, 10,017.14 and 2,784.42

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Solution

The fourth proportional to 6,682.14, 10,017.14 and 2,784.42 is: 4,174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.14 : 10,017.14 = 2,784.42 : x
  2. Step 2: Convert to fraction form
    6,682.14/10,017.14 = 2,784.42/x
  3. Step 3: Cross multiply
    6,682.14x = 10,017.14 × 2,784.42
  4. Step 4: Simplify right side
    6,682.14x = 27,891,911.04
  5. Step 5: Solve for x
    x = 27,891,911.04/6,682.14
  6. Step 6: Final answer
    x = 4,174.10

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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.