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Finding the Fourth Proportional to 22,451.70, 33,677.70 and 9,968.36

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Solution

The fourth proportional to 22,451.70, 33,677.70 and 9,968.36 is: 14,952.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,451.70 : 33,677.70 = 9,968.36 : x
  2. Step 2: Convert to fraction form
    22,451.70/33,677.70 = 9,968.36/x
  3. Step 3: Cross multiply
    22,451.70x = 33,677.70 × 9,968.36
  4. Step 4: Simplify right side
    22,451.70x = 335,711,437.57
  5. Step 5: Solve for x
    x = 335,711,437.57/22,451.70
  6. Step 6: Final answer
    x = 14,952.61

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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.