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Finding the Fourth Proportional to 6,548.67, 9,824.30 and 2,166.09

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Solution

The fourth proportional to 6,548.67, 9,824.30 and 2,166.09 is: 3,249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.67 : 9,824.30 = 2,166.09 : x
  2. Step 2: Convert to fraction form
    6,548.67/9,824.30 = 2,166.09/x
  3. Step 3: Cross multiply
    6,548.67x = 9,824.30 × 2,166.09
  4. Step 4: Simplify right side
    6,548.67x = 21,280,307.16
  5. Step 5: Solve for x
    x = 21,280,307.16/6,548.67
  6. Step 6: Final answer
    x = 3,249.56

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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.