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Finding the Fourth Proportional to 6,166.38, 8,484.96 and 5,994.12

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Solution

The fourth proportional to 6,166.38, 8,484.96 and 5,994.12 is: 8,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.38 : 8,484.96 = 5,994.12 : x
  2. Step 2: Convert to fraction form
    6,166.38/8,484.96 = 5,994.12/x
  3. Step 3: Cross multiply
    6,166.38x = 8,484.96 × 5,994.12
  4. Step 4: Simplify right side
    6,166.38x = 50,859,868.44
  5. Step 5: Solve for x
    x = 50,859,868.44/6,166.38
  6. Step 6: Final answer
    x = 8,247.93

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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.