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Finding the Fourth Proportional to 16,000.68, 23,990.71 and 6,647.14

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Solution

The fourth proportional to 16,000.68, 23,990.71 and 6,647.14 is: 9,966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.68 : 23,990.71 = 6,647.14 : x
  2. Step 2: Convert to fraction form
    16,000.68/23,990.71 = 6,647.14/x
  3. Step 3: Cross multiply
    16,000.68x = 23,990.71 × 6,647.14
  4. Step 4: Simplify right side
    16,000.68x = 159,469,454.88
  5. Step 5: Solve for x
    x = 159,469,454.88/16,000.68
  6. Step 6: Final answer
    x = 9,966.42

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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.