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Finding the Fourth Proportional to 11,785.53, 17,684.05 and 5,546.16

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Solution

The fourth proportional to 11,785.53, 17,684.05 and 5,546.16 is: 8,321.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.53 : 17,684.05 = 5,546.16 : x
  2. Step 2: Convert to fraction form
    11,785.53/17,684.05 = 5,546.16/x
  3. Step 3: Cross multiply
    11,785.53x = 17,684.05 × 5,546.16
  4. Step 4: Simplify right side
    11,785.53x = 98,078,601.09
  5. Step 5: Solve for x
    x = 98,078,601.09/11,785.53
  6. Step 6: Final answer
    x = 8,321.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.