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Finding the Fourth Proportional to 6.57, 9.86 and 2.77

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Solution

The fourth proportional to 6.57, 9.86 and 2.77 is: 4.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.57 : 9.86 = 2.77 : x
  2. Step 2: Convert to fraction form
    6.57/9.86 = 2.77/x
  3. Step 3: Cross multiply
    6.57x = 9.86 × 2.77
  4. Step 4: Simplify right side
    6.57x = 27.27
  5. Step 5: Solve for x
    x = 27.27/6.57
  6. Step 6: Final answer
    x = 4.15

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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.