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Finding the Fourth Proportional to 6,174.64, 8,522.92 and 3,523.82

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Solution

The fourth proportional to 6,174.64, 8,522.92 and 3,523.82 is: 4,863.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.64 : 8,522.92 = 3,523.82 : x
  2. Step 2: Convert to fraction form
    6,174.64/8,522.92 = 3,523.82/x
  3. Step 3: Cross multiply
    6,174.64x = 8,522.92 × 3,523.82
  4. Step 4: Simplify right side
    6,174.64x = 30,033,197.74
  5. Step 5: Solve for x
    x = 30,033,197.74/6,174.64
  6. Step 6: Final answer
    x = 4,863.96

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1.5x scale

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.