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Finding the Fourth Proportional to 8.46, 12.64 and 6.56

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Solution

The fourth proportional to 8.46, 12.64 and 6.56 is: 9.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.46 : 12.64 = 6.56 : x
  2. Step 2: Convert to fraction form
    8.46/12.64 = 6.56/x
  3. Step 3: Cross multiply
    8.46x = 12.64 × 6.56
  4. Step 4: Simplify right side
    8.46x = 82.90
  5. Step 5: Solve for x
    x = 82.90/8.46
  6. Step 6: Final answer
    x = 9.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.