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Finding the Fourth Proportional to 8,072.44, 11,137.98 and 4,927.48

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Solution

The fourth proportional to 8,072.44, 11,137.98 and 4,927.48 is: 6,798.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.44 : 11,137.98 = 4,927.48 : x
  2. Step 2: Convert to fraction form
    8,072.44/11,137.98 = 4,927.48/x
  3. Step 3: Cross multiply
    8,072.44x = 11,137.98 × 4,927.48
  4. Step 4: Simplify right side
    8,072.44x = 54,882,173.69
  5. Step 5: Solve for x
    x = 54,882,173.69/8,072.44
  6. Step 6: Final answer
    x = 6,798.71

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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.