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Finding the Fourth Proportional to 8,305.69, 12,460.94 and 2,462.44

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Solution

The fourth proportional to 8,305.69, 12,460.94 and 2,462.44 is: 3,694.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.69 : 12,460.94 = 2,462.44 : x
  2. Step 2: Convert to fraction form
    8,305.69/12,460.94 = 2,462.44/x
  3. Step 3: Cross multiply
    8,305.69x = 12,460.94 × 2,462.44
  4. Step 4: Simplify right side
    8,305.69x = 30,684,242.48
  5. Step 5: Solve for x
    x = 30,684,242.48/8,305.69
  6. Step 6: Final answer
    x = 3,694.37

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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.