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Finding the Fourth Proportional to 22,314.60, 33,471.96 and 9,157.74

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Solution

The fourth proportional to 22,314.60, 33,471.96 and 9,157.74 is: 13,736.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,314.60 : 33,471.96 = 9,157.74 : x
  2. Step 2: Convert to fraction form
    22,314.60/33,471.96 = 9,157.74/x
  3. Step 3: Cross multiply
    22,314.60x = 33,471.96 × 9,157.74
  4. Step 4: Simplify right side
    22,314.60x = 306,527,506.97
  5. Step 5: Solve for x
    x = 306,527,506.97/22,314.60
  6. Step 6: Final answer
    x = 13,736.63

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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.