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Finding the Fourth Proportional to 6,995.85, 9,647.61 and 5,399.95

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Solution

The fourth proportional to 6,995.85, 9,647.61 and 5,399.95 is: 7,446.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.85 : 9,647.61 = 5,399.95 : x
  2. Step 2: Convert to fraction form
    6,995.85/9,647.61 = 5,399.95/x
  3. Step 3: Cross multiply
    6,995.85x = 9,647.61 × 5,399.95
  4. Step 4: Simplify right side
    6,995.85x = 52,096,563.38
  5. Step 5: Solve for x
    x = 52,096,563.38/6,995.85
  6. Step 6: Final answer
    x = 7,446.79

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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.