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Finding the Fourth Proportional to 7.65, 10.50 and 6.77

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Solution

The fourth proportional to 7.65, 10.50 and 6.77 is: 9.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.65 : 10.50 = 6.77 : x
  2. Step 2: Convert to fraction form
    7.65/10.50 = 6.77/x
  3. Step 3: Cross multiply
    7.65x = 10.50 × 6.77
  4. Step 4: Simplify right side
    7.65x = 71.10
  5. Step 5: Solve for x
    x = 71.10/7.65
  6. Step 6: Final answer
    x = 9.29

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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.