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Finding the Fourth Proportional to 7.64, 11.47 and 6.15

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Solution

The fourth proportional to 7.64, 11.47 and 6.15 is: 9.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.64 : 11.47 = 6.15 : x
  2. Step 2: Convert to fraction form
    7.64/11.47 = 6.15/x
  3. Step 3: Cross multiply
    7.64x = 11.47 × 6.15
  4. Step 4: Simplify right side
    7.64x = 70.47
  5. Step 5: Solve for x
    x = 70.47/7.64
  6. Step 6: Final answer
    x = 9.22

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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.