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Finding the Fourth Proportional to 6,847.75, 10,271.63 and 2,465.54

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Solution

The fourth proportional to 6,847.75, 10,271.63 and 2,465.54 is: 3,698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.75 : 10,271.63 = 2,465.54 : x
  2. Step 2: Convert to fraction form
    6,847.75/10,271.63 = 2,465.54/x
  3. Step 3: Cross multiply
    6,847.75x = 10,271.63 × 2,465.54
  4. Step 4: Simplify right side
    6,847.75x = 25,325,114.63
  5. Step 5: Solve for x
    x = 25,325,114.63/6,847.75
  6. Step 6: Final answer
    x = 3,698.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.