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Finding the Fourth Proportional to 6.42, 9.62 and 5.10

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Solution

The fourth proportional to 6.42, 9.62 and 5.10 is: 7.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.42 : 9.62 = 5.10 : x
  2. Step 2: Convert to fraction form
    6.42/9.62 = 5.10/x
  3. Step 3: Cross multiply
    6.42x = 9.62 × 5.10
  4. Step 4: Simplify right side
    6.42x = 49.06
  5. Step 5: Solve for x
    x = 49.06/6.42
  6. Step 6: Final answer
    x = 7.64

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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.