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Finding the Fourth Proportional to 6.49, 9.75 and 6.16

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Solution

The fourth proportional to 6.49, 9.75 and 6.16 is: 9.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.49 : 9.75 = 6.16 : x
  2. Step 2: Convert to fraction form
    6.49/9.75 = 6.16/x
  3. Step 3: Cross multiply
    6.49x = 9.75 × 6.16
  4. Step 4: Simplify right side
    6.49x = 60.06
  5. Step 5: Solve for x
    x = 60.06/6.49
  6. Step 6: Final answer
    x = 9.25

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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.