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Finding the Fourth Proportional to 27,693.60, 41,540.40 and 7,972.80

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Solution

The fourth proportional to 27,693.60, 41,540.40 and 7,972.80 is: 11,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,693.60 : 41,540.40 = 7,972.80 : x
  2. Step 2: Convert to fraction form
    27,693.60/41,540.40 = 7,972.80/x
  3. Step 3: Cross multiply
    27,693.60x = 41,540.40 × 7,972.80
  4. Step 4: Simplify right side
    27,693.60x = 331,193,301.12
  5. Step 5: Solve for x
    x = 331,193,301.12/27,693.60
  6. Step 6: Final answer
    x = 11,959.20

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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.