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Finding the Fourth Proportional to 27,810.79, 41,715.83 and 6,751

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Solution

The fourth proportional to 27,810.79, 41,715.83 and 6,751 is: 10,126.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,810.79 : 41,715.83 = 6,751 : x
  2. Step 2: Convert to fraction form
    27,810.79/41,715.83 = 6,751/x
  3. Step 3: Cross multiply
    27,810.79x = 41,715.83 × 6,751
  4. Step 4: Simplify right side
    27,810.79x = 281,623,568.33
  5. Step 5: Solve for x
    x = 281,623,568.33/27,810.79
  6. Step 6: Final answer
    x = 10,126.41

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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.