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Finding the Fourth Proportional to 10.62, 16 and 9.64

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Solution

The fourth proportional to 10.62, 16 and 9.64 is: 14.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.62 : 16 = 9.64 : x
  2. Step 2: Convert to fraction form
    10.62/16 = 9.64/x
  3. Step 3: Cross multiply
    10.62x = 16 × 9.64
  4. Step 4: Simplify right side
    10.62x = 154.24
  5. Step 5: Solve for x
    x = 154.24/10.62
  6. Step 6: Final answer
    x = 14.52

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1.5x scale

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.