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Finding the Fourth Proportional to 8,182.60, 12,273.60 and 2,339.20

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Solution

The fourth proportional to 8,182.60, 12,273.60 and 2,339.20 is: 3,508.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.60 : 12,273.60 = 2,339.20 : x
  2. Step 2: Convert to fraction form
    8,182.60/12,273.60 = 2,339.20/x
  3. Step 3: Cross multiply
    8,182.60x = 12,273.60 × 2,339.20
  4. Step 4: Simplify right side
    8,182.60x = 28,710,405.12
  5. Step 5: Solve for x
    x = 28,710,405.12/8,182.60
  6. Step 6: Final answer
    x = 3,508.71

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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.