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Finding the Fourth Proportional to 8,166.68, 12,224 and 6,504.56

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Solution

The fourth proportional to 8,166.68, 12,224 and 6,504.56 is: 9,736.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.68 : 12,224 = 6,504.56 : x
  2. Step 2: Convert to fraction form
    8,166.68/12,224 = 6,504.56/x
  3. Step 3: Cross multiply
    8,166.68x = 12,224 × 6,504.56
  4. Step 4: Simplify right side
    8,166.68x = 79,511,741.44
  5. Step 5: Solve for x
    x = 79,511,741.44/8,166.68
  6. Step 6: Final answer
    x = 9,736.12

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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.