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Finding the Fourth Proportional to 7.85, 10.83 and 4.61

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Solution

The fourth proportional to 7.85, 10.83 and 4.61 is: 6.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.85 : 10.83 = 4.61 : x
  2. Step 2: Convert to fraction form
    7.85/10.83 = 4.61/x
  3. Step 3: Cross multiply
    7.85x = 10.83 × 4.61
  4. Step 4: Simplify right side
    7.85x = 49.90
  5. Step 5: Solve for x
    x = 49.90/7.85
  6. Step 6: Final answer
    x = 6.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.