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Finding the Fourth Proportional to 27,926.87, 41,892.84 and 9,206.87

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Solution

The fourth proportional to 27,926.87, 41,892.84 and 9,206.87 is: 13,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,926.87 : 41,892.84 = 9,206.87 : x
  2. Step 2: Convert to fraction form
    27,926.87/41,892.84 = 9,206.87/x
  3. Step 3: Cross multiply
    27,926.87x = 41,892.84 × 9,206.87
  4. Step 4: Simplify right side
    27,926.87x = 385,701,722.35
  5. Step 5: Solve for x
    x = 385,701,722.35/27,926.87
  6. Step 6: Final answer
    x = 13,811.14

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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.