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Finding the Fourth Proportional to 6.76, 9.32 and 4.60

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Solution

The fourth proportional to 6.76, 9.32 and 4.60 is: 6.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.76 : 9.32 = 4.60 : x
  2. Step 2: Convert to fraction form
    6.76/9.32 = 4.60/x
  3. Step 3: Cross multiply
    6.76x = 9.32 × 4.60
  4. Step 4: Simplify right side
    6.76x = 42.87
  5. Step 5: Solve for x
    x = 42.87/6.76
  6. Step 6: Final answer
    x = 6.34

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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.