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Finding the Fourth Proportional to 4.02, 6 and 3.78

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Solution

The fourth proportional to 4.02, 6 and 3.78 is: 5.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.02 : 6 = 3.78 : x
  2. Step 2: Convert to fraction form
    4.02/6 = 3.78/x
  3. Step 3: Cross multiply
    4.02x = 6 × 3.78
  4. Step 4: Simplify right side
    4.02x = 22.68
  5. Step 5: Solve for x
    x = 22.68/4.02
  6. Step 6: Final answer
    x = 5.64

Related Problems

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Double scale
Find fourth proportional to 5.02, 7.49 and 4.78
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.