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Finding the Fourth Proportional to 8.19, 12.29 and 6.51

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Solution

The fourth proportional to 8.19, 12.29 and 6.51 is: 9.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.19 : 12.29 = 6.51 : x
  2. Step 2: Convert to fraction form
    8.19/12.29 = 6.51/x
  3. Step 3: Cross multiply
    8.19x = 12.29 × 6.51
  4. Step 4: Simplify right side
    8.19x = 80.01
  5. Step 5: Solve for x
    x = 80.01/8.19
  6. Step 6: Final answer
    x = 9.77

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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.