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Finding the Fourth Proportional to 22,497.62, 33,709.48 and 7,698.47

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Solution

The fourth proportional to 22,497.62, 33,709.48 and 7,698.47 is: 11,535.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,497.62 : 33,709.48 = 7,698.47 : x
  2. Step 2: Convert to fraction form
    22,497.62/33,709.48 = 7,698.47/x
  3. Step 3: Cross multiply
    22,497.62x = 33,709.48 × 7,698.47
  4. Step 4: Simplify right side
    22,497.62x = 259,511,232.70
  5. Step 5: Solve for x
    x = 259,511,232.70/22,497.62
  6. Step 6: Final answer
    x = 11,535.06

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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.