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Finding the Fourth Proportional to 8,027.76, 12,042.72 and 4,324.98

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Solution

The fourth proportional to 8,027.76, 12,042.72 and 4,324.98 is: 6,488.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.76 : 12,042.72 = 4,324.98 : x
  2. Step 2: Convert to fraction form
    8,027.76/12,042.72 = 4,324.98/x
  3. Step 3: Cross multiply
    8,027.76x = 12,042.72 × 4,324.98
  4. Step 4: Simplify right side
    8,027.76x = 52,084,523.15
  5. Step 5: Solve for x
    x = 52,084,523.15/8,027.76
  6. Step 6: Final answer
    x = 6,488.05

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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.