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Finding the Fourth Proportional to 27,693.44, 41,539.68 and 7,971.20

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Solution

The fourth proportional to 27,693.44, 41,539.68 and 7,971.20 is: 11,956.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,693.44 : 41,539.68 = 7,971.20 : x
  2. Step 2: Convert to fraction form
    27,693.44/41,539.68 = 7,971.20/x
  3. Step 3: Cross multiply
    27,693.44x = 41,539.68 × 7,971.20
  4. Step 4: Simplify right side
    27,693.44x = 331,121,097.22
  5. Step 5: Solve for x
    x = 331,121,097.22/27,693.44
  6. Step 6: Final answer
    x = 11,956.66

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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.