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Finding the Fourth Proportional to 6,166.38, 8,506.14 and 3,806.84

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Solution

The fourth proportional to 6,166.38, 8,506.14 and 3,806.84 is: 5,251.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.38 : 8,506.14 = 3,806.84 : x
  2. Step 2: Convert to fraction form
    6,166.38/8,506.14 = 3,806.84/x
  3. Step 3: Cross multiply
    6,166.38x = 8,506.14 × 3,806.84
  4. Step 4: Simplify right side
    6,166.38x = 32,381,514.00
  5. Step 5: Solve for x
    x = 32,381,514.00/6,166.38
  6. Step 6: Final answer
    x = 5,251.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.