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Finding the Fourth Proportional to 6,605.31, 9,884.36 and 5,738.03

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Solution

The fourth proportional to 6,605.31, 9,884.36 and 5,738.03 is: 8,586.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.31 : 9,884.36 = 5,738.03 : x
  2. Step 2: Convert to fraction form
    6,605.31/9,884.36 = 5,738.03/x
  3. Step 3: Cross multiply
    6,605.31x = 9,884.36 × 5,738.03
  4. Step 4: Simplify right side
    6,605.31x = 56,716,676.10
  5. Step 5: Solve for x
    x = 56,716,676.10/6,605.31
  6. Step 6: Final answer
    x = 8,586.53

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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.