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Finding the Fourth Proportional to 6.42, 9.64 and 6.14

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Solution

The fourth proportional to 6.42, 9.64 and 6.14 is: 9.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.42 : 9.64 = 6.14 : x
  2. Step 2: Convert to fraction form
    6.42/9.64 = 6.14/x
  3. Step 3: Cross multiply
    6.42x = 9.64 × 6.14
  4. Step 4: Simplify right side
    6.42x = 59.19
  5. Step 5: Solve for x
    x = 59.19/6.42
  6. Step 6: Final answer
    x = 9.22

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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.