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Finding the Fourth Proportional to 16,136.16, 24,198.08 and 6,274.16

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Solution

The fourth proportional to 16,136.16, 24,198.08 and 6,274.16 is: 9,408.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,136.16 : 24,198.08 = 6,274.16 : x
  2. Step 2: Convert to fraction form
    16,136.16/24,198.08 = 6,274.16/x
  3. Step 3: Cross multiply
    16,136.16x = 24,198.08 × 6,274.16
  4. Step 4: Simplify right side
    16,136.16x = 151,822,625.61
  5. Step 5: Solve for x
    x = 151,822,625.61/16,136.16
  6. Step 6: Final answer
    x = 9,408.84

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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.