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Finding the Fourth Proportional to 11.74, 17.64 and 9.76

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Solution

The fourth proportional to 11.74, 17.64 and 9.76 is: 14.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.74 : 17.64 = 9.76 : x
  2. Step 2: Convert to fraction form
    11.74/17.64 = 9.76/x
  3. Step 3: Cross multiply
    11.74x = 17.64 × 9.76
  4. Step 4: Simplify right side
    11.74x = 172.17
  5. Step 5: Solve for x
    x = 172.17/11.74
  6. Step 6: Final answer
    x = 14.66

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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.