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Finding the Fourth Proportional to 8.57, 11.83 and 4.69

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Solution

The fourth proportional to 8.57, 11.83 and 4.69 is: 6.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.57 : 11.83 = 4.69 : x
  2. Step 2: Convert to fraction form
    8.57/11.83 = 4.69/x
  3. Step 3: Cross multiply
    8.57x = 11.83 × 4.69
  4. Step 4: Simplify right side
    8.57x = 55.41
  5. Step 5: Solve for x
    x = 55.41/8.57
  6. Step 6: Final answer
    x = 6.47

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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.