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Finding the Fourth Proportional to 9.76, 14.62 and 4.41

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Solution

The fourth proportional to 9.76, 14.62 and 4.41 is: 6.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.76 : 14.62 = 4.41 : x
  2. Step 2: Convert to fraction form
    9.76/14.62 = 4.41/x
  3. Step 3: Cross multiply
    9.76x = 14.62 × 4.41
  4. Step 4: Simplify right side
    9.76x = 64.45
  5. Step 5: Solve for x
    x = 64.45/9.76
  6. Step 6: Final answer
    x = 6.61

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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.