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Finding the Fourth Proportional to 6.57, 9.82 and 5.23

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Solution

The fourth proportional to 6.57, 9.82 and 5.23 is: 7.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.57 : 9.82 = 5.23 : x
  2. Step 2: Convert to fraction form
    6.57/9.82 = 5.23/x
  3. Step 3: Cross multiply
    6.57x = 9.82 × 5.23
  4. Step 4: Simplify right side
    6.57x = 51.36
  5. Step 5: Solve for x
    x = 51.36/6.57
  6. Step 6: Final answer
    x = 7.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.