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Finding the Fourth Proportional to 9.77, 14.67 and 8.46

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Solution

The fourth proportional to 9.77, 14.67 and 8.46 is: 12.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.77 : 14.67 = 8.46 : x
  2. Step 2: Convert to fraction form
    9.77/14.67 = 8.46/x
  3. Step 3: Cross multiply
    9.77x = 14.67 × 8.46
  4. Step 4: Simplify right side
    9.77x = 124.11
  5. Step 5: Solve for x
    x = 124.11/9.77
  6. Step 6: Final answer
    x = 12.71

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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.