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Finding the Fourth Proportional to 7.46, 11.26 and 7.09

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Solution

The fourth proportional to 7.46, 11.26 and 7.09 is: 10.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.46 : 11.26 = 7.09 : x
  2. Step 2: Convert to fraction form
    7.46/11.26 = 7.09/x
  3. Step 3: Cross multiply
    7.46x = 11.26 × 7.09
  4. Step 4: Simplify right side
    7.46x = 79.74
  5. Step 5: Solve for x
    x = 79.74/7.46
  6. Step 6: Final answer
    x = 10.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.