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Finding the Fourth Proportional to 17,084.40, 25,611.41 and 9,191.16

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Solution

The fourth proportional to 17,084.40, 25,611.41 and 9,191.16 is: 13,778.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,084.40 : 25,611.41 = 9,191.16 : x
  2. Step 2: Convert to fraction form
    17,084.40/25,611.41 = 9,191.16/x
  3. Step 3: Cross multiply
    17,084.40x = 25,611.41 × 9,191.16
  4. Step 4: Simplify right side
    17,084.40x = 235,398,521.18
  5. Step 5: Solve for x
    x = 235,398,521.18/17,084.40
  6. Step 6: Final answer
    x = 13,778.57

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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.