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Finding the Fourth Proportional to 6,568.56, 9,852.77 and 1,638.26

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Solution

The fourth proportional to 6,568.56, 9,852.77 and 1,638.26 is: 2,457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.56 : 9,852.77 = 1,638.26 : x
  2. Step 2: Convert to fraction form
    6,568.56/9,852.77 = 1,638.26/x
  3. Step 3: Cross multiply
    6,568.56x = 9,852.77 × 1,638.26
  4. Step 4: Simplify right side
    6,568.56x = 16,141,390.76
  5. Step 5: Solve for x
    x = 16,141,390.76/6,568.56
  6. Step 6: Final answer
    x = 2,457.37

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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.