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Finding the Fourth Proportional to 8,129.98, 12,193.70 and 2,582.60

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Solution

The fourth proportional to 8,129.98, 12,193.70 and 2,582.60 is: 3,873.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.98 : 12,193.70 = 2,582.60 : x
  2. Step 2: Convert to fraction form
    8,129.98/12,193.70 = 2,582.60/x
  3. Step 3: Cross multiply
    8,129.98x = 12,193.70 × 2,582.60
  4. Step 4: Simplify right side
    8,129.98x = 31,491,425.59
  5. Step 5: Solve for x
    x = 31,491,425.59/8,129.98
  6. Step 6: Final answer
    x = 3,873.49

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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.