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Finding the Fourth Proportional to 6, 9.04 and 5.20

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Solution

The fourth proportional to 6, 9.04 and 5.20 is: 7.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6 : 9.04 = 5.20 : x
  2. Step 2: Convert to fraction form
    6/9.04 = 5.20/x
  3. Step 3: Cross multiply
    6x = 9.04 × 5.20
  4. Step 4: Simplify right side
    6x = 47.01
  5. Step 5: Solve for x
    x = 47.01/6
  6. Step 6: Final answer
    x = 7.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.