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Finding the Fourth Proportional to 8,046.72, 12,072.11 and 3,663.14

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Solution

The fourth proportional to 8,046.72, 12,072.11 and 3,663.14 is: 5,495.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.72 : 12,072.11 = 3,663.14 : x
  2. Step 2: Convert to fraction form
    8,046.72/12,072.11 = 3,663.14/x
  3. Step 3: Cross multiply
    8,046.72x = 12,072.11 × 3,663.14
  4. Step 4: Simplify right side
    8,046.72x = 44,221,750.35
  5. Step 5: Solve for x
    x = 44,221,750.35/8,046.72
  6. Step 6: Final answer
    x = 5,495.62

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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.