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Finding the Fourth Proportional to 16,797.86, 23,182 and 9,628.97

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Solution

The fourth proportional to 16,797.86, 23,182 and 9,628.97 is: 13,288.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,797.86 : 23,182 = 9,628.97 : x
  2. Step 2: Convert to fraction form
    16,797.86/23,182 = 9,628.97/x
  3. Step 3: Cross multiply
    16,797.86x = 23,182 × 9,628.97
  4. Step 4: Simplify right side
    16,797.86x = 223,218,782.54
  5. Step 5: Solve for x
    x = 223,218,782.54/16,797.86
  6. Step 6: Final answer
    x = 13,288.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.