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Finding the Fourth Proportional to 6.20, 9.30 and 5.76

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Solution

The fourth proportional to 6.20, 9.30 and 5.76 is: 8.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.20 : 9.30 = 5.76 : x
  2. Step 2: Convert to fraction form
    6.20/9.30 = 5.76/x
  3. Step 3: Cross multiply
    6.20x = 9.30 × 5.76
  4. Step 4: Simplify right side
    6.20x = 53.57
  5. Step 5: Solve for x
    x = 53.57/6.20
  6. Step 6: Final answer
    x = 8.64

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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.