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Finding the Fourth Proportional to 15,755.43, 21,742.22 and 8,585.41

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Solution

The fourth proportional to 15,755.43, 21,742.22 and 8,585.41 is: 11,847.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,755.43 : 21,742.22 = 8,585.41 : x
  2. Step 2: Convert to fraction form
    15,755.43/21,742.22 = 8,585.41/x
  3. Step 3: Cross multiply
    15,755.43x = 21,742.22 × 8,585.41
  4. Step 4: Simplify right side
    15,755.43x = 186,665,888.49
  5. Step 5: Solve for x
    x = 186,665,888.49/15,755.43
  6. Step 6: Final answer
    x = 11,847.71

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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.