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Finding the Fourth Proportional to 8,159.26, 12,238.90 and 2,003.26

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Solution

The fourth proportional to 8,159.26, 12,238.90 and 2,003.26 is: 3,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.26 : 12,238.90 = 2,003.26 : x
  2. Step 2: Convert to fraction form
    8,159.26/12,238.90 = 2,003.26/x
  3. Step 3: Cross multiply
    8,159.26x = 12,238.90 × 2,003.26
  4. Step 4: Simplify right side
    8,159.26x = 24,517,698.81
  5. Step 5: Solve for x
    x = 24,517,698.81/8,159.26
  6. Step 6: Final answer
    x = 3,004.89

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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.