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Finding the Fourth Proportional to 4,127.37, 6,179.37 and 3,738.16

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Solution

The fourth proportional to 4,127.37, 6,179.37 and 3,738.16 is: 5,596.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127.37 : 6,179.37 = 3,738.16 : x
  2. Step 2: Convert to fraction form
    4,127.37/6,179.37 = 3,738.16/x
  3. Step 3: Cross multiply
    4,127.37x = 6,179.37 × 3,738.16
  4. Step 4: Simplify right side
    4,127.37x = 23,099,473.76
  5. Step 5: Solve for x
    x = 23,099,473.76/4,127.37
  6. Step 6: Final answer
    x = 5,596.66

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1.5x scale

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.