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Finding the Fourth Proportional to 6.58, 9.83 and 5.38

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Solution

The fourth proportional to 6.58, 9.83 and 5.38 is: 8.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.58 : 9.83 = 5.38 : x
  2. Step 2: Convert to fraction form
    6.58/9.83 = 5.38/x
  3. Step 3: Cross multiply
    6.58x = 9.83 × 5.38
  4. Step 4: Simplify right side
    6.58x = 52.89
  5. Step 5: Solve for x
    x = 52.89/6.58
  6. Step 6: Final answer
    x = 8.04

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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.