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Finding the Fourth Proportional to 6.46, 8.92 and 5.66

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Solution

The fourth proportional to 6.46, 8.92 and 5.66 is: 7.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.46 : 8.92 = 5.66 : x
  2. Step 2: Convert to fraction form
    6.46/8.92 = 5.66/x
  3. Step 3: Cross multiply
    6.46x = 8.92 × 5.66
  4. Step 4: Simplify right side
    6.46x = 50.49
  5. Step 5: Solve for x
    x = 50.49/6.46
  6. Step 6: Final answer
    x = 7.82

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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.