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Finding the Fourth Proportional to 9.37, 14.02 and 7.11

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Solution

The fourth proportional to 9.37, 14.02 and 7.11 is: 10.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.37 : 14.02 = 7.11 : x
  2. Step 2: Convert to fraction form
    9.37/14.02 = 7.11/x
  3. Step 3: Cross multiply
    9.37x = 14.02 × 7.11
  4. Step 4: Simplify right side
    9.37x = 99.66
  5. Step 5: Solve for x
    x = 99.66/9.37
  6. Step 6: Final answer
    x = 10.64

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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.