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Finding the Fourth Proportional to 6.15, 9.22 and 4.66

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Solution

The fourth proportional to 6.15, 9.22 and 4.66 is: 6.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.15 : 9.22 = 4.66 : x
  2. Step 2: Convert to fraction form
    6.15/9.22 = 4.66/x
  3. Step 3: Cross multiply
    6.15x = 9.22 × 4.66
  4. Step 4: Simplify right side
    6.15x = 42.93
  5. Step 5: Solve for x
    x = 42.93/6.15
  6. Step 6: Final answer
    x = 6.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.