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Finding the Fourth Proportional to 27,538.50, 41,308.14 and 6,762

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Solution

The fourth proportional to 27,538.50, 41,308.14 and 6,762 is: 10,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,538.50 : 41,308.14 = 6,762 : x
  2. Step 2: Convert to fraction form
    27,538.50/41,308.14 = 6,762/x
  3. Step 3: Cross multiply
    27,538.50x = 41,308.14 × 6,762
  4. Step 4: Simplify right side
    27,538.50x = 279,325,642.68
  5. Step 5: Solve for x
    x = 279,325,642.68/27,538.50
  6. Step 6: Final answer
    x = 10,143.10

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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.