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Finding the Fourth Proportional to 6.57, 9.03 and 5.19

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Solution

The fourth proportional to 6.57, 9.03 and 5.19 is: 7.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.57 : 9.03 = 5.19 : x
  2. Step 2: Convert to fraction form
    6.57/9.03 = 5.19/x
  3. Step 3: Cross multiply
    6.57x = 9.03 × 5.19
  4. Step 4: Simplify right side
    6.57x = 46.87
  5. Step 5: Solve for x
    x = 46.87/6.57
  6. Step 6: Final answer
    x = 7.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.