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Finding the Fourth Proportional to 18,496.14, 27,742.05 and 7,402.38

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Solution

The fourth proportional to 18,496.14, 27,742.05 and 7,402.38 is: 11,102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,496.14 : 27,742.05 = 7,402.38 : x
  2. Step 2: Convert to fraction form
    18,496.14/27,742.05 = 7,402.38/x
  3. Step 3: Cross multiply
    18,496.14x = 27,742.05 × 7,402.38
  4. Step 4: Simplify right side
    18,496.14x = 205,357,196.08
  5. Step 5: Solve for x
    x = 205,357,196.08/18,496.14
  6. Step 6: Final answer
    x = 11,102.71

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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.