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Finding the Fourth Proportional to 16,000.82, 24,007.46 and 6,638.48

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Solution

The fourth proportional to 16,000.82, 24,007.46 and 6,638.48 is: 9,960.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.82 : 24,007.46 = 6,638.48 : x
  2. Step 2: Convert to fraction form
    16,000.82/24,007.46 = 6,638.48/x
  3. Step 3: Cross multiply
    16,000.82x = 24,007.46 × 6,638.48
  4. Step 4: Simplify right side
    16,000.82x = 159,373,043.06
  5. Step 5: Solve for x
    x = 159,373,043.06/16,000.82
  6. Step 6: Final answer
    x = 9,960.30

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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.