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Finding the Fourth Proportional to 6.90, 9.50 and 5.82

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Solution

The fourth proportional to 6.90, 9.50 and 5.82 is: 8.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.90 : 9.50 = 5.82 : x
  2. Step 2: Convert to fraction form
    6.90/9.50 = 5.82/x
  3. Step 3: Cross multiply
    6.90x = 9.50 × 5.82
  4. Step 4: Simplify right side
    6.90x = 55.29
  5. Step 5: Solve for x
    x = 55.29/6.90
  6. Step 6: Final answer
    x = 8.01

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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.