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Finding the Fourth Proportional to 7.65, 11.43 and 6.37

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Solution

The fourth proportional to 7.65, 11.43 and 6.37 is: 9.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.65 : 11.43 = 6.37 : x
  2. Step 2: Convert to fraction form
    7.65/11.43 = 6.37/x
  3. Step 3: Cross multiply
    7.65x = 11.43 × 6.37
  4. Step 4: Simplify right side
    7.65x = 72.81
  5. Step 5: Solve for x
    x = 72.81/7.65
  6. Step 6: Final answer
    x = 9.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.