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Finding the Fourth Proportional to 16,519, 22,795.92 and 9,348.84

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Solution

The fourth proportional to 16,519, 22,795.92 and 9,348.84 is: 12,901.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,519 : 22,795.92 = 9,348.84 : x
  2. Step 2: Convert to fraction form
    16,519/22,795.92 = 9,348.84/x
  3. Step 3: Cross multiply
    16,519x = 22,795.92 × 9,348.84
  4. Step 4: Simplify right side
    16,519x = 213,115,408.73
  5. Step 5: Solve for x
    x = 213,115,408.73/16,519
  6. Step 6: Final answer
    x = 12,901.23

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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.