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Finding the Fourth Proportional to 7.57, 10.40 and 6.78

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Solution

The fourth proportional to 7.57, 10.40 and 6.78 is: 9.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.57 : 10.40 = 6.78 : x
  2. Step 2: Convert to fraction form
    7.57/10.40 = 6.78/x
  3. Step 3: Cross multiply
    7.57x = 10.40 × 6.78
  4. Step 4: Simplify right side
    7.57x = 70.57
  5. Step 5: Solve for x
    x = 70.57/7.57
  6. Step 6: Final answer
    x = 9.32

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Why These Related Problems?

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