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Finding the Fourth Proportional to 16,474.70, 24,683.70 and 7,691.60

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Solution

The fourth proportional to 16,474.70, 24,683.70 and 7,691.60 is: 11,524.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.70 : 24,683.70 = 7,691.60 : x
  2. Step 2: Convert to fraction form
    16,474.70/24,683.70 = 7,691.60/x
  3. Step 3: Cross multiply
    16,474.70x = 24,683.70 × 7,691.60
  4. Step 4: Simplify right side
    16,474.70x = 189,857,146.92
  5. Step 5: Solve for x
    x = 189,857,146.92/16,474.70
  6. Step 6: Final answer
    x = 11,524.16

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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.