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Finding the Fourth Proportional to 16,283.66, 22,471.94 and 9,209.94

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Solution

The fourth proportional to 16,283.66, 22,471.94 and 9,209.94 is: 12,709.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.66 : 22,471.94 = 9,209.94 : x
  2. Step 2: Convert to fraction form
    16,283.66/22,471.94 = 9,209.94/x
  3. Step 3: Cross multiply
    16,283.66x = 22,471.94 × 9,209.94
  4. Step 4: Simplify right side
    16,283.66x = 206,965,219.08
  5. Step 5: Solve for x
    x = 206,965,219.08/16,283.66
  6. Step 6: Final answer
    x = 12,709.99

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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.