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Finding the Fourth Proportional to 8,282.52, 12,422.52 and 2,359.80

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Solution

The fourth proportional to 8,282.52, 12,422.52 and 2,359.80 is: 3,539.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.52 : 12,422.52 = 2,359.80 : x
  2. Step 2: Convert to fraction form
    8,282.52/12,422.52 = 2,359.80/x
  3. Step 3: Cross multiply
    8,282.52x = 12,422.52 × 2,359.80
  4. Step 4: Simplify right side
    8,282.52x = 29,314,662.70
  5. Step 5: Solve for x
    x = 29,314,662.70/8,282.52
  6. Step 6: Final answer
    x = 3,539.34

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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.