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Finding the Fourth Proportional to 6.37, 9.54 and 4.56

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Solution

The fourth proportional to 6.37, 9.54 and 4.56 is: 6.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.37 : 9.54 = 4.56 : x
  2. Step 2: Convert to fraction form
    6.37/9.54 = 4.56/x
  3. Step 3: Cross multiply
    6.37x = 9.54 × 4.56
  4. Step 4: Simplify right side
    6.37x = 43.43
  5. Step 5: Solve for x
    x = 43.43/6.37
  6. Step 6: Final answer
    x = 6.82

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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.