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Finding the Fourth Proportional to 11,471.09, 17,199.74 and 3,972.17

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Solution

The fourth proportional to 11,471.09, 17,199.74 and 3,972.17 is: 5,955.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.09 : 17,199.74 = 3,972.17 : x
  2. Step 2: Convert to fraction form
    11,471.09/17,199.74 = 3,972.17/x
  3. Step 3: Cross multiply
    11,471.09x = 17,199.74 × 3,972.17
  4. Step 4: Simplify right side
    11,471.09x = 68,320,344.17
  5. Step 5: Solve for x
    x = 68,320,344.17/11,471.09
  6. Step 6: Final answer
    x = 5,955.87

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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.