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Finding the Fourth Proportional to 16,500.92, 24,745.14 and 5,968.16

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Solution

The fourth proportional to 16,500.92, 24,745.14 and 5,968.16 is: 8,949.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.92 : 24,745.14 = 5,968.16 : x
  2. Step 2: Convert to fraction form
    16,500.92/24,745.14 = 5,968.16/x
  3. Step 3: Cross multiply
    16,500.92x = 24,745.14 × 5,968.16
  4. Step 4: Simplify right side
    16,500.92x = 147,682,954.74
  5. Step 5: Solve for x
    x = 147,682,954.74/16,500.92
  6. Step 6: Final answer
    x = 8,949.98

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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.