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Finding the Fourth Proportional to 10.21, 14 and 9.63

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Solution

The fourth proportional to 10.21, 14 and 9.63 is: 13.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.21 : 14 = 9.63 : x
  2. Step 2: Convert to fraction form
    10.21/14 = 9.63/x
  3. Step 3: Cross multiply
    10.21x = 14 × 9.63
  4. Step 4: Simplify right side
    10.21x = 134.75
  5. Step 5: Solve for x
    x = 134.75/10.21
  6. Step 6: Final answer
    x = 13.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.