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Finding the Fourth Proportional to 6.34, 8.74 and 5.25

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Solution

The fourth proportional to 6.34, 8.74 and 5.25 is: 7.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.34 : 8.74 = 5.25 : x
  2. Step 2: Convert to fraction form
    6.34/8.74 = 5.25/x
  3. Step 3: Cross multiply
    6.34x = 8.74 × 5.25
  4. Step 4: Simplify right side
    6.34x = 45.89
  5. Step 5: Solve for x
    x = 45.89/6.34
  6. Step 6: Final answer
    x = 7.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.