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Finding the Fourth Proportional to 22,382.17, 33,574.01 and 6,799.75

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Solution

The fourth proportional to 22,382.17, 33,574.01 and 6,799.75 is: 10,199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,382.17 : 33,574.01 = 6,799.75 : x
  2. Step 2: Convert to fraction form
    22,382.17/33,574.01 = 6,799.75/x
  3. Step 3: Cross multiply
    22,382.17x = 33,574.01 × 6,799.75
  4. Step 4: Simplify right side
    22,382.17x = 228,294,874.50
  5. Step 5: Solve for x
    x = 228,294,874.50/22,382.17
  6. Step 6: Final answer
    x = 10,199.85

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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.