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Finding the Fourth Proportional to 17,097.84, 25,638.53 and 8,084.45

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Solution

The fourth proportional to 17,097.84, 25,638.53 and 8,084.45 is: 12,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097.84 : 25,638.53 = 8,084.45 : x
  2. Step 2: Convert to fraction form
    17,097.84/25,638.53 = 8,084.45/x
  3. Step 3: Cross multiply
    17,097.84x = 25,638.53 × 8,084.45
  4. Step 4: Simplify right side
    17,097.84x = 207,273,245.24
  5. Step 5: Solve for x
    x = 207,273,245.24/17,097.84
  6. Step 6: Final answer
    x = 12,122.77

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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.