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Finding the Fourth Proportional to 15,471.94, 21,351.16 and 8,398.22

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Solution

The fourth proportional to 15,471.94, 21,351.16 and 8,398.22 is: 11,589.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471.94 : 21,351.16 = 8,398.22 : x
  2. Step 2: Convert to fraction form
    15,471.94/21,351.16 = 8,398.22/x
  3. Step 3: Cross multiply
    15,471.94x = 21,351.16 × 8,398.22
  4. Step 4: Simplify right side
    15,471.94x = 179,311,738.94
  5. Step 5: Solve for x
    x = 179,311,738.94/15,471.94
  6. Step 6: Final answer
    x = 11,589.48

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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.