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Finding the Fourth Proportional to 16,380.97, 24,571.47 and 7,014.94

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Solution

The fourth proportional to 16,380.97, 24,571.47 and 7,014.94 is: 10,522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,380.97 : 24,571.47 = 7,014.94 : x
  2. Step 2: Convert to fraction form
    16,380.97/24,571.47 = 7,014.94/x
  3. Step 3: Cross multiply
    16,380.97x = 24,571.47 × 7,014.94
  4. Step 4: Simplify right side
    16,380.97x = 172,367,387.76
  5. Step 5: Solve for x
    x = 172,367,387.76/16,380.97
  6. Step 6: Final answer
    x = 10,522.42

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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.