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Finding the Fourth Proportional to 6.57, 9.06 and 3.80

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Solution

The fourth proportional to 6.57, 9.06 and 3.80 is: 5.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.57 : 9.06 = 3.80 : x
  2. Step 2: Convert to fraction form
    6.57/9.06 = 3.80/x
  3. Step 3: Cross multiply
    6.57x = 9.06 × 3.80
  4. Step 4: Simplify right side
    6.57x = 34.46
  5. Step 5: Solve for x
    x = 34.46/6.57
  6. Step 6: Final answer
    x = 5.25

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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.