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Finding the Fourth Proportional to 8,205.95, 12,310.88 and 2,659.30

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Solution

The fourth proportional to 8,205.95, 12,310.88 and 2,659.30 is: 3,989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.95 : 12,310.88 = 2,659.30 : x
  2. Step 2: Convert to fraction form
    8,205.95/12,310.88 = 2,659.30/x
  3. Step 3: Cross multiply
    8,205.95x = 12,310.88 × 2,659.30
  4. Step 4: Simplify right side
    8,205.95x = 32,738,279.11
  5. Step 5: Solve for x
    x = 32,738,279.11/8,205.95
  6. Step 6: Final answer
    x = 3,989.58

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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.