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Finding the Fourth Proportional to 17, 23.46 and 9.73

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Solution

The fourth proportional to 17, 23.46 and 9.73 is: 13.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17 : 23.46 = 9.73 : x
  2. Step 2: Convert to fraction form
    17/23.46 = 9.73/x
  3. Step 3: Cross multiply
    17x = 23.46 × 9.73
  4. Step 4: Simplify right side
    17x = 228.15
  5. Step 5: Solve for x
    x = 228.15/17
  6. Step 6: Final answer
    x = 13.42

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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.