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Finding the Fourth Proportional to 27,715.94, 41,573.94 and 6,939.44

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Solution

The fourth proportional to 27,715.94, 41,573.94 and 6,939.44 is: 10,409.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,715.94 : 41,573.94 = 6,939.44 : x
  2. Step 2: Convert to fraction form
    27,715.94/41,573.94 = 6,939.44/x
  3. Step 3: Cross multiply
    27,715.94x = 41,573.94 × 6,939.44
  4. Step 4: Simplify right side
    27,715.94x = 288,499,862.19
  5. Step 5: Solve for x
    x = 288,499,862.19/27,715.94
  6. Step 6: Final answer
    x = 10,409.17

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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.