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Finding the Fourth Proportional to 16,549, 22,857.12 and 10,950.28

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Solution

The fourth proportional to 16,549, 22,857.12 and 10,950.28 is: 15,124.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549 : 22,857.12 = 10,950.28 : x
  2. Step 2: Convert to fraction form
    16,549/22,857.12 = 10,950.28/x
  3. Step 3: Cross multiply
    16,549x = 22,857.12 × 10,950.28
  4. Step 4: Simplify right side
    16,549x = 250,291,863.99
  5. Step 5: Solve for x
    x = 250,291,863.99/16,549
  6. Step 6: Final answer
    x = 15,124.29

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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.