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Finding the Fourth Proportional to 17,084.48, 25,625.46 and 8,206.16

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Solution

The fourth proportional to 17,084.48, 25,625.46 and 8,206.16 is: 12,308.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,084.48 : 25,625.46 = 8,206.16 : x
  2. Step 2: Convert to fraction form
    17,084.48/25,625.46 = 8,206.16/x
  3. Step 3: Cross multiply
    17,084.48x = 25,625.46 × 8,206.16
  4. Step 4: Simplify right side
    17,084.48x = 210,286,624.83
  5. Step 5: Solve for x
    x = 210,286,624.83/17,084.48
  6. Step 6: Final answer
    x = 12,308.63

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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.