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Finding the Fourth Proportional to 27,614.88, 41,428.89 and 8,896.68

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Solution

The fourth proportional to 27,614.88, 41,428.89 and 8,896.68 is: 13,347.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,614.88 : 41,428.89 = 8,896.68 : x
  2. Step 2: Convert to fraction form
    27,614.88/41,428.89 = 8,896.68/x
  3. Step 3: Cross multiply
    27,614.88x = 41,428.89 × 8,896.68
  4. Step 4: Simplify right side
    27,614.88x = 368,579,577.09
  5. Step 5: Solve for x
    x = 368,579,577.09/27,614.88
  6. Step 6: Final answer
    x = 13,347.14

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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.