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Finding the Fourth Proportional to 8,049.72, 12,073.23 and 2,205.30

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Solution

The fourth proportional to 8,049.72, 12,073.23 and 2,205.30 is: 3,307.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.72 : 12,073.23 = 2,205.30 : x
  2. Step 2: Convert to fraction form
    8,049.72/12,073.23 = 2,205.30/x
  3. Step 3: Cross multiply
    8,049.72x = 12,073.23 × 2,205.30
  4. Step 4: Simplify right side
    8,049.72x = 26,625,094.12
  5. Step 5: Solve for x
    x = 26,625,094.12/8,049.72
  6. Step 6: Final answer
    x = 3,307.58

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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.