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Finding the Fourth Proportional to 22,314.44, 33,471.88 and 5,674.47

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Solution

The fourth proportional to 22,314.44, 33,471.88 and 5,674.47 is: 8,511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,314.44 : 33,471.88 = 5,674.47 : x
  2. Step 2: Convert to fraction form
    22,314.44/33,471.88 = 5,674.47/x
  3. Step 3: Cross multiply
    22,314.44x = 33,471.88 × 5,674.47
  4. Step 4: Simplify right side
    22,314.44x = 189,935,337.58
  5. Step 5: Solve for x
    x = 189,935,337.58/22,314.44
  6. Step 6: Final answer
    x = 8,511.77

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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.