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Finding the Fourth Proportional to 6,997.41, 9,665.09 and 5,080.17

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Solution

The fourth proportional to 6,997.41, 9,665.09 and 5,080.17 is: 7,016.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.41 : 9,665.09 = 5,080.17 : x
  2. Step 2: Convert to fraction form
    6,997.41/9,665.09 = 5,080.17/x
  3. Step 3: Cross multiply
    6,997.41x = 9,665.09 × 5,080.17
  4. Step 4: Simplify right side
    6,997.41x = 49,100,251.94
  5. Step 5: Solve for x
    x = 49,100,251.94/6,997.41
  6. Step 6: Final answer
    x = 7,016.92

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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.