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Finding the Fourth Proportional to 8,201.17, 12,305.36 and 4,304.67

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Solution

The fourth proportional to 8,201.17, 12,305.36 and 4,304.67 is: 6,458.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.17 : 12,305.36 = 4,304.67 : x
  2. Step 2: Convert to fraction form
    8,201.17/12,305.36 = 4,304.67/x
  3. Step 3: Cross multiply
    8,201.17x = 12,305.36 × 4,304.67
  4. Step 4: Simplify right side
    8,201.17x = 52,970,514.03
  5. Step 5: Solve for x
    x = 52,970,514.03/8,201.17
  6. Step 6: Final answer
    x = 6,458.90

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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.