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Finding the Fourth Proportional to 6.71, 10.06 and 4.71

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Solution

The fourth proportional to 6.71, 10.06 and 4.71 is: 7.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.71 : 10.06 = 4.71 : x
  2. Step 2: Convert to fraction form
    6.71/10.06 = 4.71/x
  3. Step 3: Cross multiply
    6.71x = 10.06 × 4.71
  4. Step 4: Simplify right side
    6.71x = 47.38
  5. Step 5: Solve for x
    x = 47.38/6.71
  6. Step 6: Final answer
    x = 7.06

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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.