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Finding the Fourth Proportional to 9.63, 14.40 and 7.07

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Solution

The fourth proportional to 9.63, 14.40 and 7.07 is: 10.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.63 : 14.40 = 7.07 : x
  2. Step 2: Convert to fraction form
    9.63/14.40 = 7.07/x
  3. Step 3: Cross multiply
    9.63x = 14.40 × 7.07
  4. Step 4: Simplify right side
    9.63x = 101.74
  5. Step 5: Solve for x
    x = 101.74/9.63
  6. Step 6: Final answer
    x = 10.56

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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.