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Finding the Fourth Proportional to 6.50, 9.77 and 5.02

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Solution

The fourth proportional to 6.50, 9.77 and 5.02 is: 7.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.50 : 9.77 = 5.02 : x
  2. Step 2: Convert to fraction form
    6.50/9.77 = 5.02/x
  3. Step 3: Cross multiply
    6.50x = 9.77 × 5.02
  4. Step 4: Simplify right side
    6.50x = 49.05
  5. Step 5: Solve for x
    x = 49.05/6.50
  6. Step 6: Final answer
    x = 7.55

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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.