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Finding the Fourth Proportional to 6,503, 8,974.26 and 4,643.24

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Solution

The fourth proportional to 6,503, 8,974.26 and 4,643.24 is: 6,407.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503 : 8,974.26 = 4,643.24 : x
  2. Step 2: Convert to fraction form
    6,503/8,974.26 = 4,643.24/x
  3. Step 3: Cross multiply
    6,503x = 8,974.26 × 4,643.24
  4. Step 4: Simplify right side
    6,503x = 41,669,643.00
  5. Step 5: Solve for x
    x = 41,669,643.00/6,503
  6. Step 6: Final answer
    x = 6,407.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.