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Finding the Fourth Proportional to 9.40, 14.09 and 7.14

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Solution

The fourth proportional to 9.40, 14.09 and 7.14 is: 10.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.40 : 14.09 = 7.14 : x
  2. Step 2: Convert to fraction form
    9.40/14.09 = 7.14/x
  3. Step 3: Cross multiply
    9.40x = 14.09 × 7.14
  4. Step 4: Simplify right side
    9.40x = 100.60
  5. Step 5: Solve for x
    x = 100.60/9.40
  6. Step 6: Final answer
    x = 10.70

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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.