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Finding the Fourth Proportional to 12,201.73, 16,838.26 and 6,824.11

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Solution

The fourth proportional to 12,201.73, 16,838.26 and 6,824.11 is: 9,417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.73 : 16,838.26 = 6,824.11 : x
  2. Step 2: Convert to fraction form
    12,201.73/16,838.26 = 6,824.11/x
  3. Step 3: Cross multiply
    12,201.73x = 16,838.26 × 6,824.11
  4. Step 4: Simplify right side
    12,201.73x = 114,906,054.26
  5. Step 5: Solve for x
    x = 114,906,054.26/12,201.73
  6. Step 6: Final answer
    x = 9,417.20

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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.