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Finding the Fourth Proportional to 6.94, 9.58 and 6.34

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Solution

The fourth proportional to 6.94, 9.58 and 6.34 is: 8.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.94 : 9.58 = 6.34 : x
  2. Step 2: Convert to fraction form
    6.94/9.58 = 6.34/x
  3. Step 3: Cross multiply
    6.94x = 9.58 × 6.34
  4. Step 4: Simplify right side
    6.94x = 60.74
  5. Step 5: Solve for x
    x = 60.74/6.94
  6. Step 6: Final answer
    x = 8.75

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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.