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Finding the Fourth Proportional to 14,757.84, 22,137.84 and 5,992.92

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Solution

The fourth proportional to 14,757.84, 22,137.84 and 5,992.92 is: 8,989.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,757.84 : 22,137.84 = 5,992.92 : x
  2. Step 2: Convert to fraction form
    14,757.84/22,137.84 = 5,992.92/x
  3. Step 3: Cross multiply
    14,757.84x = 22,137.84 × 5,992.92
  4. Step 4: Simplify right side
    14,757.84x = 132,670,304.09
  5. Step 5: Solve for x
    x = 132,670,304.09/14,757.84
  6. Step 6: Final answer
    x = 8,989.82

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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.