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Finding the Fourth Proportional to 6,449.03, 9,674.47 and 2,447.89

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Solution

The fourth proportional to 6,449.03, 9,674.47 and 2,447.89 is: 3,672.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.03 : 9,674.47 = 2,447.89 : x
  2. Step 2: Convert to fraction form
    6,449.03/9,674.47 = 2,447.89/x
  3. Step 3: Cross multiply
    6,449.03x = 9,674.47 × 2,447.89
  4. Step 4: Simplify right side
    6,449.03x = 23,682,038.37
  5. Step 5: Solve for x
    x = 23,682,038.37/6,449.03
  6. Step 6: Final answer
    x = 3,672.19

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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.