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Finding the Fourth Proportional to 16,854.82, 25,282.82 and 6,323.77

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Solution

The fourth proportional to 16,854.82, 25,282.82 and 6,323.77 is: 9,485.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,854.82 : 25,282.82 = 6,323.77 : x
  2. Step 2: Convert to fraction form
    16,854.82/25,282.82 = 6,323.77/x
  3. Step 3: Cross multiply
    16,854.82x = 25,282.82 × 6,323.77
  4. Step 4: Simplify right side
    16,854.82x = 159,882,738.63
  5. Step 5: Solve for x
    x = 159,882,738.63/16,854.82
  6. Step 6: Final answer
    x = 9,485.88

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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.