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Finding the Fourth Proportional to 22,625.92, 33,930.78 and 7,830.87

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Solution

The fourth proportional to 22,625.92, 33,930.78 and 7,830.87 is: 11,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,625.92 : 33,930.78 = 7,830.87 : x
  2. Step 2: Convert to fraction form
    22,625.92/33,930.78 = 7,830.87/x
  3. Step 3: Cross multiply
    22,625.92x = 33,930.78 × 7,830.87
  4. Step 4: Simplify right side
    22,625.92x = 265,707,527.18
  5. Step 5: Solve for x
    x = 265,707,527.18/22,625.92
  6. Step 6: Final answer
    x = 11,743.50

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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.