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Finding the Fourth Proportional to 10,882.94, 15,006.90 and 8,226.14

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Solution

The fourth proportional to 10,882.94, 15,006.90 and 8,226.14 is: 11,343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.94 : 15,006.90 = 8,226.14 : x
  2. Step 2: Convert to fraction form
    10,882.94/15,006.90 = 8,226.14/x
  3. Step 3: Cross multiply
    10,882.94x = 15,006.90 × 8,226.14
  4. Step 4: Simplify right side
    10,882.94x = 123,448,860.37
  5. Step 5: Solve for x
    x = 123,448,860.37/10,882.94
  6. Step 6: Final answer
    x = 11,343.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.