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Finding the Fourth Proportional to 16,150, 24,213.12 and 6,152.98

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Solution

The fourth proportional to 16,150, 24,213.12 and 6,152.98 is: 9,224.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,150 : 24,213.12 = 6,152.98 : x
  2. Step 2: Convert to fraction form
    16,150/24,213.12 = 6,152.98/x
  3. Step 3: Cross multiply
    16,150x = 24,213.12 × 6,152.98
  4. Step 4: Simplify right side
    16,150x = 148,982,843.10
  5. Step 5: Solve for x
    x = 148,982,843.10/16,150
  6. Step 6: Final answer
    x = 9,224.94

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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.