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Finding the Fourth Proportional to 7,166, 10,749 and 2,549

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Solution

The fourth proportional to 7,166, 10,749 and 2,549 is: 3,823.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166 : 10,749 = 2,549 : x
  2. Step 2: Convert to fraction form
    7,166/10,749 = 2,549/x
  3. Step 3: Cross multiply
    7,166x = 10,749 × 2,549
  4. Step 4: Simplify right side
    7,166x = 27,399,201
  5. Step 5: Solve for x
    x = 27,399,201/7,166
  6. Step 6: Final answer
    x = 3,823.50

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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.