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Finding the Fourth Proportional to 8,282.25, 12,420.94 and 2,437.47

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Solution

The fourth proportional to 8,282.25, 12,420.94 and 2,437.47 is: 3,655.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.25 : 12,420.94 = 2,437.47 : x
  2. Step 2: Convert to fraction form
    8,282.25/12,420.94 = 2,437.47/x
  3. Step 3: Cross multiply
    8,282.25x = 12,420.94 × 2,437.47
  4. Step 4: Simplify right side
    8,282.25x = 30,275,668.62
  5. Step 5: Solve for x
    x = 30,275,668.62/8,282.25
  6. Step 6: Final answer
    x = 3,655.49

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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.