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Finding the Fourth Proportional to 9.65, 14.47 and 3.64

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Solution

The fourth proportional to 9.65, 14.47 and 3.64 is: 5.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.65 : 14.47 = 3.64 : x
  2. Step 2: Convert to fraction form
    9.65/14.47 = 3.64/x
  3. Step 3: Cross multiply
    9.65x = 14.47 × 3.64
  4. Step 4: Simplify right side
    9.65x = 52.63
  5. Step 5: Solve for x
    x = 52.63/9.65
  6. Step 6: Final answer
    x = 5.46

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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.