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Finding the Fourth Proportional to 8,002.74, 11,997.60 and 3,002.31

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Solution

The fourth proportional to 8,002.74, 11,997.60 and 3,002.31 is: 4,501.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.74 : 11,997.60 = 3,002.31 : x
  2. Step 2: Convert to fraction form
    8,002.74/11,997.60 = 3,002.31/x
  3. Step 3: Cross multiply
    8,002.74x = 11,997.60 × 3,002.31
  4. Step 4: Simplify right side
    8,002.74x = 36,020,514.46
  5. Step 5: Solve for x
    x = 36,020,514.46/8,002.74
  6. Step 6: Final answer
    x = 4,501.02

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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.