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Finding the Fourth Proportional to 18,066.48, 27,096.96 and 6,378

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Solution

The fourth proportional to 18,066.48, 27,096.96 and 6,378 is: 9,566.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,066.48 : 27,096.96 = 6,378 : x
  2. Step 2: Convert to fraction form
    18,066.48/27,096.96 = 6,378/x
  3. Step 3: Cross multiply
    18,066.48x = 27,096.96 × 6,378
  4. Step 4: Simplify right side
    18,066.48x = 172,824,410.88
  5. Step 5: Solve for x
    x = 172,824,410.88/18,066.48
  6. Step 6: Final answer
    x = 9,566.03

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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.