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Finding the Fourth Proportional to 22,626.49, 33,940.16 and 7,835.89

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Solution

The fourth proportional to 22,626.49, 33,940.16 and 7,835.89 is: 11,753.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,626.49 : 33,940.16 = 7,835.89 : x
  2. Step 2: Convert to fraction form
    22,626.49/33,940.16 = 7,835.89/x
  3. Step 3: Cross multiply
    22,626.49x = 33,940.16 × 7,835.89
  4. Step 4: Simplify right side
    22,626.49x = 265,951,373.41
  5. Step 5: Solve for x
    x = 265,951,373.41/22,626.49
  6. Step 6: Final answer
    x = 11,753.98

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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.