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Finding the Fourth Proportional to 6,847.56, 10,271.34 and 1,653.44

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Solution

The fourth proportional to 6,847.56, 10,271.34 and 1,653.44 is: 2,480.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.56 : 10,271.34 = 1,653.44 : x
  2. Step 2: Convert to fraction form
    6,847.56/10,271.34 = 1,653.44/x
  3. Step 3: Cross multiply
    6,847.56x = 10,271.34 × 1,653.44
  4. Step 4: Simplify right side
    6,847.56x = 16,983,028.92
  5. Step 5: Solve for x
    x = 16,983,028.92/6,847.56
  6. Step 6: Final answer
    x = 2,480.16

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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.