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Finding the Fourth Proportional to 12,206.36, 16,843.99 and 6,827.87

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Solution

The fourth proportional to 12,206.36, 16,843.99 and 6,827.87 is: 9,422.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.36 : 16,843.99 = 6,827.87 : x
  2. Step 2: Convert to fraction form
    12,206.36/16,843.99 = 6,827.87/x
  3. Step 3: Cross multiply
    12,206.36x = 16,843.99 × 6,827.87
  4. Step 4: Simplify right side
    12,206.36x = 115,008,599.04
  5. Step 5: Solve for x
    x = 115,008,599.04/12,206.36
  6. Step 6: Final answer
    x = 9,422.02

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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.