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Finding the Fourth Proportional to 18,278.42, 27,428.97 and 8,419.10

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Solution

The fourth proportional to 18,278.42, 27,428.97 and 8,419.10 is: 12,633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,278.42 : 27,428.97 = 8,419.10 : x
  2. Step 2: Convert to fraction form
    18,278.42/27,428.97 = 8,419.10/x
  3. Step 3: Cross multiply
    18,278.42x = 27,428.97 × 8,419.10
  4. Step 4: Simplify right side
    18,278.42x = 230,927,241.33
  5. Step 5: Solve for x
    x = 230,927,241.33/18,278.42
  6. Step 6: Final answer
    x = 12,633.87

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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.