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Finding the Fourth Proportional to 22,644.35, 33,966.96 and 7,853.75

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Solution

The fourth proportional to 22,644.35, 33,966.96 and 7,853.75 is: 11,780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,644.35 : 33,966.96 = 7,853.75 : x
  2. Step 2: Convert to fraction form
    22,644.35/33,966.96 = 7,853.75/x
  3. Step 3: Cross multiply
    22,644.35x = 33,966.96 × 7,853.75
  4. Step 4: Simplify right side
    22,644.35x = 266,768,012.10
  5. Step 5: Solve for x
    x = 266,768,012.10/22,644.35
  6. Step 6: Final answer
    x = 11,780.78

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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.