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Finding the Fourth Proportional to 6,503.07, 8,974.26 and 3,670.56

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Solution

The fourth proportional to 6,503.07, 8,974.26 and 3,670.56 is: 5,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.07 : 8,974.26 = 3,670.56 : x
  2. Step 2: Convert to fraction form
    6,503.07/8,974.26 = 3,670.56/x
  3. Step 3: Cross multiply
    6,503.07x = 8,974.26 × 3,670.56
  4. Step 4: Simplify right side
    6,503.07x = 32,940,568.96
  5. Step 5: Solve for x
    x = 32,940,568.96/6,503.07
  6. Step 6: Final answer
    x = 5,065.39

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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.