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Finding the Fourth Proportional to 9.70, 14.56 and 6.34

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Solution

The fourth proportional to 9.70, 14.56 and 6.34 is: 9.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.70 : 14.56 = 6.34 : x
  2. Step 2: Convert to fraction form
    9.70/14.56 = 6.34/x
  3. Step 3: Cross multiply
    9.70x = 14.56 × 6.34
  4. Step 4: Simplify right side
    9.70x = 92.31
  5. Step 5: Solve for x
    x = 92.31/9.70
  6. Step 6: Final answer
    x = 9.52

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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.