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Finding the Fourth Proportional to 12,227.60, 16,874.06 and 6,922.10

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Solution

The fourth proportional to 12,227.60, 16,874.06 and 6,922.10 is: 9,552.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.60 : 16,874.06 = 6,922.10 : x
  2. Step 2: Convert to fraction form
    12,227.60/16,874.06 = 6,922.10/x
  3. Step 3: Cross multiply
    12,227.60x = 16,874.06 × 6,922.10
  4. Step 4: Simplify right side
    12,227.60x = 116,803,930.73
  5. Step 5: Solve for x
    x = 116,803,930.73/12,227.60
  6. Step 6: Final answer
    x = 9,552.48

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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.