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Finding the Fourth Proportional to 12.65, 19.00 and 9.64

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Solution

The fourth proportional to 12.65, 19.00 and 9.64 is: 14.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.65 : 19.00 = 9.64 : x
  2. Step 2: Convert to fraction form
    12.65/19.00 = 9.64/x
  3. Step 3: Cross multiply
    12.65x = 19.00 × 9.64
  4. Step 4: Simplify right side
    12.65x = 183.12
  5. Step 5: Solve for x
    x = 183.12/12.65
  6. Step 6: Final answer
    x = 14.47

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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.