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Finding the Fourth Proportional to 8,002.53, 11,995.92 and 3,001.23

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Solution

The fourth proportional to 8,002.53, 11,995.92 and 3,001.23 is: 4,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.53 : 11,995.92 = 3,001.23 : x
  2. Step 2: Convert to fraction form
    8,002.53/11,995.92 = 3,001.23/x
  3. Step 3: Cross multiply
    8,002.53x = 11,995.92 × 3,001.23
  4. Step 4: Simplify right side
    8,002.53x = 36,002,514.98
  5. Step 5: Solve for x
    x = 36,002,514.98/8,002.53
  6. Step 6: Final answer
    x = 4,498.89

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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.