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Finding the Fourth Proportional to 27,704, 41,556.82 and 6,927.50

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Solution

The fourth proportional to 27,704, 41,556.82 and 6,927.50 is: 10,391.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,704 : 41,556.82 = 6,927.50 : x
  2. Step 2: Convert to fraction form
    27,704/41,556.82 = 6,927.50/x
  3. Step 3: Cross multiply
    27,704x = 41,556.82 × 6,927.50
  4. Step 4: Simplify right side
    27,704x = 287,884,870.55
  5. Step 5: Solve for x
    x = 287,884,870.55/27,704
  6. Step 6: Final answer
    x = 10,391.46

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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.