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Finding the Fourth Proportional to 6,137.78, 8,463.43 and 4,144.88

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Solution

The fourth proportional to 6,137.78, 8,463.43 and 4,144.88 is: 5,715.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.78 : 8,463.43 = 4,144.88 : x
  2. Step 2: Convert to fraction form
    6,137.78/8,463.43 = 4,144.88/x
  3. Step 3: Cross multiply
    6,137.78x = 8,463.43 × 4,144.88
  4. Step 4: Simplify right side
    6,137.78x = 35,079,896.62
  5. Step 5: Solve for x
    x = 35,079,896.62/6,137.78
  6. Step 6: Final answer
    x = 5,715.40

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Half scale
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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.