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Finding the Fourth Proportional to 27,672.40, 41,496.18 and 7,946.56

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Solution

The fourth proportional to 27,672.40, 41,496.18 and 7,946.56 is: 11,916.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,672.40 : 41,496.18 = 7,946.56 : x
  2. Step 2: Convert to fraction form
    27,672.40/41,496.18 = 7,946.56/x
  3. Step 3: Cross multiply
    27,672.40x = 41,496.18 × 7,946.56
  4. Step 4: Simplify right side
    27,672.40x = 329,751,884.14
  5. Step 5: Solve for x
    x = 329,751,884.14/27,672.40
  6. Step 6: Final answer
    x = 11,916.27

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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.