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Finding the Fourth Proportional to 16,510.50, 24,765.84 and 4,198.50

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Solution

The fourth proportional to 16,510.50, 24,765.84 and 4,198.50 is: 6,297.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,510.50 : 24,765.84 = 4,198.50 : x
  2. Step 2: Convert to fraction form
    16,510.50/24,765.84 = 4,198.50/x
  3. Step 3: Cross multiply
    16,510.50x = 24,765.84 × 4,198.50
  4. Step 4: Simplify right side
    16,510.50x = 103,979,379.24
  5. Step 5: Solve for x
    x = 103,979,379.24/16,510.50
  6. Step 6: Final answer
    x = 6,297.77

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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.