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Finding the Fourth Proportional to 8.51, 12.78 and 5.84

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Solution

The fourth proportional to 8.51, 12.78 and 5.84 is: 8.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.51 : 12.78 = 5.84 : x
  2. Step 2: Convert to fraction form
    8.51/12.78 = 5.84/x
  3. Step 3: Cross multiply
    8.51x = 12.78 × 5.84
  4. Step 4: Simplify right side
    8.51x = 74.64
  5. Step 5: Solve for x
    x = 74.64/8.51
  6. Step 6: Final answer
    x = 8.77

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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.