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Finding the Fourth Proportional to 16,310.58, 24,462.08 and 7,982.22

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Solution

The fourth proportional to 16,310.58, 24,462.08 and 7,982.22 is: 11,971.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,310.58 : 24,462.08 = 7,982.22 : x
  2. Step 2: Convert to fraction form
    16,310.58/24,462.08 = 7,982.22/x
  3. Step 3: Cross multiply
    16,310.58x = 24,462.08 × 7,982.22
  4. Step 4: Simplify right side
    16,310.58x = 195,261,704.22
  5. Step 5: Solve for x
    x = 195,261,704.22/16,310.58
  6. Step 6: Final answer
    x = 11,971.48

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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.