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Finding the Fourth Proportional to 6,526.80, 9,790.22 and 2,144.60

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Solution

The fourth proportional to 6,526.80, 9,790.22 and 2,144.60 is: 3,216.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.80 : 9,790.22 = 2,144.60 : x
  2. Step 2: Convert to fraction form
    6,526.80/9,790.22 = 2,144.60/x
  3. Step 3: Cross multiply
    6,526.80x = 9,790.22 × 2,144.60
  4. Step 4: Simplify right side
    6,526.80x = 20,996,105.81
  5. Step 5: Solve for x
    x = 20,996,105.81/6,526.80
  6. Step 6: Final answer
    x = 3,216.91

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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.