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Finding the Fourth Proportional to 16,634.92, 24,952.38 and 7,857.76

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Solution

The fourth proportional to 16,634.92, 24,952.38 and 7,857.76 is: 11,786.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,634.92 : 24,952.38 = 7,857.76 : x
  2. Step 2: Convert to fraction form
    16,634.92/24,952.38 = 7,857.76/x
  3. Step 3: Cross multiply
    16,634.92x = 24,952.38 × 7,857.76
  4. Step 4: Simplify right side
    16,634.92x = 196,069,813.47
  5. Step 5: Solve for x
    x = 196,069,813.47/16,634.92
  6. Step 6: Final answer
    x = 11,786.64

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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.