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Finding the Fourth Proportional to 6,144.78, 8,473.09 and 4,151.88

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Solution

The fourth proportional to 6,144.78, 8,473.09 and 4,151.88 is: 5,725.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.78 : 8,473.09 = 4,151.88 : x
  2. Step 2: Convert to fraction form
    6,144.78/8,473.09 = 4,151.88/x
  3. Step 3: Cross multiply
    6,144.78x = 8,473.09 × 4,151.88
  4. Step 4: Simplify right side
    6,144.78x = 35,179,252.91
  5. Step 5: Solve for x
    x = 35,179,252.91/6,144.78
  6. Step 6: Final answer
    x = 5,725.06

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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.