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Finding the Fourth Proportional to 7.71, 11.54 and 6.45

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Solution

The fourth proportional to 7.71, 11.54 and 6.45 is: 9.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.71 : 11.54 = 6.45 : x
  2. Step 2: Convert to fraction form
    7.71/11.54 = 6.45/x
  3. Step 3: Cross multiply
    7.71x = 11.54 × 6.45
  4. Step 4: Simplify right side
    7.71x = 74.39
  5. Step 5: Solve for x
    x = 74.39/7.71
  6. Step 6: Final answer
    x = 9.65

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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.