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Finding the Fourth Proportional to 6.59, 9.83 and 5.82

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Solution

The fourth proportional to 6.59, 9.83 and 5.82 is: 8.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.59 : 9.83 = 5.82 : x
  2. Step 2: Convert to fraction form
    6.59/9.83 = 5.82/x
  3. Step 3: Cross multiply
    6.59x = 9.83 × 5.82
  4. Step 4: Simplify right side
    6.59x = 57.18
  5. Step 5: Solve for x
    x = 57.18/6.59
  6. Step 6: Final answer
    x = 8.68

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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.