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Finding the Fourth Proportional to 14, 19.34 and 9.68

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Solution

The fourth proportional to 14, 19.34 and 9.68 is: 13.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14 : 19.34 = 9.68 : x
  2. Step 2: Convert to fraction form
    14/19.34 = 9.68/x
  3. Step 3: Cross multiply
    14x = 19.34 × 9.68
  4. Step 4: Simplify right side
    14x = 187.16
  5. Step 5: Solve for x
    x = 187.16/14
  6. Step 6: Final answer
    x = 13.37

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.