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Finding the Fourth Proportional to 8,120.25, 11,205.99 and 4,763.13

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Solution

The fourth proportional to 8,120.25, 11,205.99 and 4,763.13 is: 6,573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120.25 : 11,205.99 = 4,763.13 : x
  2. Step 2: Convert to fraction form
    8,120.25/11,205.99 = 4,763.13/x
  3. Step 3: Cross multiply
    8,120.25x = 11,205.99 × 4,763.13
  4. Step 4: Simplify right side
    8,120.25x = 53,375,587.15
  5. Step 5: Solve for x
    x = 53,375,587.15/8,120.25
  6. Step 6: Final answer
    x = 6,573.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.