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Finding the Fourth Proportional to 6,174.38, 8,520.74 and 3,341.81

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Solution

The fourth proportional to 6,174.38, 8,520.74 and 3,341.81 is: 4,611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.38 : 8,520.74 = 3,341.81 : x
  2. Step 2: Convert to fraction form
    6,174.38/8,520.74 = 3,341.81/x
  3. Step 3: Cross multiply
    6,174.38x = 8,520.74 × 3,341.81
  4. Step 4: Simplify right side
    6,174.38x = 28,474,682.13
  5. Step 5: Solve for x
    x = 28,474,682.13/6,174.38
  6. Step 6: Final answer
    x = 4,611.75

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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.