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Finding the Fourth Proportional to 6.47, 9.69 and 2.46

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Solution

The fourth proportional to 6.47, 9.69 and 2.46 is: 3.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.47 : 9.69 = 2.46 : x
  2. Step 2: Convert to fraction form
    6.47/9.69 = 2.46/x
  3. Step 3: Cross multiply
    6.47x = 9.69 × 2.46
  4. Step 4: Simplify right side
    6.47x = 23.79
  5. Step 5: Solve for x
    x = 23.79/6.47
  6. Step 6: Final answer
    x = 3.68

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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.