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Finding the Fourth Proportional to 16,205.93, 24,305.79 and 6,842.87

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Solution

The fourth proportional to 16,205.93, 24,305.79 and 6,842.87 is: 10,262.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.93 : 24,305.79 = 6,842.87 : x
  2. Step 2: Convert to fraction form
    16,205.93/24,305.79 = 6,842.87/x
  3. Step 3: Cross multiply
    16,205.93x = 24,305.79 × 6,842.87
  4. Step 4: Simplify right side
    16,205.93x = 166,321,361.22
  5. Step 5: Solve for x
    x = 166,321,361.22/16,205.93
  6. Step 6: Final answer
    x = 10,262.99

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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.