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Finding the Fourth Proportional to 9,238.46, 13,844.91 and 8,002.80

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Solution

The fourth proportional to 9,238.46, 13,844.91 and 8,002.80 is: 11,993.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.46 : 13,844.91 = 8,002.80 : x
  2. Step 2: Convert to fraction form
    9,238.46/13,844.91 = 8,002.80/x
  3. Step 3: Cross multiply
    9,238.46x = 13,844.91 × 8,002.80
  4. Step 4: Simplify right side
    9,238.46x = 110,798,030.74
  5. Step 5: Solve for x
    x = 110,798,030.74/9,238.46
  6. Step 6: Final answer
    x = 11,993.13

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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.