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Finding the Fourth Proportional to 22,651.62, 33,976.34 and 7,657.74

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Solution

The fourth proportional to 22,651.62, 33,976.34 and 7,657.74 is: 11,486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,651.62 : 33,976.34 = 7,657.74 : x
  2. Step 2: Convert to fraction form
    22,651.62/33,976.34 = 7,657.74/x
  3. Step 3: Cross multiply
    22,651.62x = 33,976.34 × 7,657.74
  4. Step 4: Simplify right side
    22,651.62x = 260,181,977.87
  5. Step 5: Solve for x
    x = 260,181,977.87/22,651.62
  6. Step 6: Final answer
    x = 11,486.24

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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.