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Finding the Fourth Proportional to 8.51, 11.73 and 6.46

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Solution

The fourth proportional to 8.51, 11.73 and 6.46 is: 8.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.51 : 11.73 = 6.46 : x
  2. Step 2: Convert to fraction form
    8.51/11.73 = 6.46/x
  3. Step 3: Cross multiply
    8.51x = 11.73 × 6.46
  4. Step 4: Simplify right side
    8.51x = 75.74
  5. Step 5: Solve for x
    x = 75.74/8.51
  6. Step 6: Final answer
    x = 8.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.