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Finding the Fourth Proportional to 6,503.64, 8,974.98 and 3,671.03

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Solution

The fourth proportional to 6,503.64, 8,974.98 and 3,671.03 is: 5,065.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.64 : 8,974.98 = 3,671.03 : x
  2. Step 2: Convert to fraction form
    6,503.64/8,974.98 = 3,671.03/x
  3. Step 3: Cross multiply
    6,503.64x = 8,974.98 × 3,671.03
  4. Step 4: Simplify right side
    6,503.64x = 32,947,375.95
  5. Step 5: Solve for x
    x = 32,947,375.95/6,503.64
  6. Step 6: Final answer
    x = 5,065.99

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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.