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Finding the Fourth Proportional to 22,462.84, 33,700.74 and 6,882.76

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Solution

The fourth proportional to 22,462.84, 33,700.74 and 6,882.76 is: 10,326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462.84 : 33,700.74 = 6,882.76 : x
  2. Step 2: Convert to fraction form
    22,462.84/33,700.74 = 6,882.76/x
  3. Step 3: Cross multiply
    22,462.84x = 33,700.74 × 6,882.76
  4. Step 4: Simplify right side
    22,462.84x = 231,954,105.24
  5. Step 5: Solve for x
    x = 231,954,105.24/22,462.84
  6. Step 6: Final answer
    x = 10,326.13

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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.