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Finding the Fourth Proportional to 11,922.73, 16,454.14 and 6,617.56

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Solution

The fourth proportional to 11,922.73, 16,454.14 and 6,617.56 is: 9,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.73 : 16,454.14 = 6,617.56 : x
  2. Step 2: Convert to fraction form
    11,922.73/16,454.14 = 6,617.56/x
  3. Step 3: Cross multiply
    11,922.73x = 16,454.14 × 6,617.56
  4. Step 4: Simplify right side
    11,922.73x = 108,886,258.70
  5. Step 5: Solve for x
    x = 108,886,258.70/11,922.73
  6. Step 6: Final answer
    x = 9,132.66

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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.