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Finding the Fourth Proportional to 36,867.75, 55,301.84 and 9,165.75

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Solution

The fourth proportional to 36,867.75, 55,301.84 and 9,165.75 is: 13,748.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,867.75 : 55,301.84 = 9,165.75 : x
  2. Step 2: Convert to fraction form
    36,867.75/55,301.84 = 9,165.75/x
  3. Step 3: Cross multiply
    36,867.75x = 55,301.84 × 9,165.75
  4. Step 4: Simplify right side
    36,867.75x = 506,882,794.15
  5. Step 5: Solve for x
    x = 506,882,794.15/36,867.75
  6. Step 6: Final answer
    x = 13,748.68

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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.