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Finding the Fourth Proportional to 4,911, 6,777.18 and 2,703

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Solution

The fourth proportional to 4,911, 6,777.18 and 2,703 is: 3,730.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911 : 6,777.18 = 2,703 : x
  2. Step 2: Convert to fraction form
    4,911/6,777.18 = 2,703/x
  3. Step 3: Cross multiply
    4,911x = 6,777.18 × 2,703
  4. Step 4: Simplify right side
    4,911x = 18,318,717.54
  5. Step 5: Solve for x
    x = 18,318,717.54/4,911
  6. Step 6: Final answer
    x = 3,730.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.