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Finding the Fourth Proportional to 7.76, 10.69 and 6.55

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Solution

The fourth proportional to 7.76, 10.69 and 6.55 is: 9.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.76 : 10.69 = 6.55 : x
  2. Step 2: Convert to fraction form
    7.76/10.69 = 6.55/x
  3. Step 3: Cross multiply
    7.76x = 10.69 × 6.55
  4. Step 4: Simplify right side
    7.76x = 69.98
  5. Step 5: Solve for x
    x = 69.98/7.76
  6. Step 6: Final answer
    x = 9.01

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Why These Related Problems?

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