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Finding the Fourth Proportional to 6,562.14, 9,839.52 and 2,178.42

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Solution

The fourth proportional to 6,562.14, 9,839.52 and 2,178.42 is: 3,266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.14 : 9,839.52 = 2,178.42 : x
  2. Step 2: Convert to fraction form
    6,562.14/9,839.52 = 2,178.42/x
  3. Step 3: Cross multiply
    6,562.14x = 9,839.52 × 2,178.42
  4. Step 4: Simplify right side
    6,562.14x = 21,434,607.16
  5. Step 5: Solve for x
    x = 21,434,607.16/6,562.14
  6. Step 6: Final answer
    x = 3,266.41

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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.