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Finding the Fourth Proportional to 22,574.42, 33,857.77 and 6,775.17

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Solution

The fourth proportional to 22,574.42, 33,857.77 and 6,775.17 is: 10,161.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,574.42 : 33,857.77 = 6,775.17 : x
  2. Step 2: Convert to fraction form
    22,574.42/33,857.77 = 6,775.17/x
  3. Step 3: Cross multiply
    22,574.42x = 33,857.77 × 6,775.17
  4. Step 4: Simplify right side
    22,574.42x = 229,392,147.57
  5. Step 5: Solve for x
    x = 229,392,147.57/22,574.42
  6. Step 6: Final answer
    x = 10,161.60

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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.