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Finding the Fourth Proportional to 6.87, 9.49 and 4.93

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Solution

The fourth proportional to 6.87, 9.49 and 4.93 is: 6.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.87 : 9.49 = 4.93 : x
  2. Step 2: Convert to fraction form
    6.87/9.49 = 4.93/x
  3. Step 3: Cross multiply
    6.87x = 9.49 × 4.93
  4. Step 4: Simplify right side
    6.87x = 46.76
  5. Step 5: Solve for x
    x = 46.76/6.87
  6. Step 6: Final answer
    x = 6.81

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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.