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Finding the Fourth Proportional to 11,763.83, 17,611.02 and 6,205.21

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Solution

The fourth proportional to 11,763.83, 17,611.02 and 6,205.21 is: 9,289.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.83 : 17,611.02 = 6,205.21 : x
  2. Step 2: Convert to fraction form
    11,763.83/17,611.02 = 6,205.21/x
  3. Step 3: Cross multiply
    11,763.83x = 17,611.02 × 6,205.21
  4. Step 4: Simplify right side
    11,763.83x = 109,280,033.39
  5. Step 5: Solve for x
    x = 109,280,033.39/11,763.83
  6. Step 6: Final answer
    x = 9,289.49

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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.