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Finding the Fourth Proportional to 6,380.34, 9,570.97 and 1,700.33

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Solution

The fourth proportional to 6,380.34, 9,570.97 and 1,700.33 is: 2,550.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.34 : 9,570.97 = 1,700.33 : x
  2. Step 2: Convert to fraction form
    6,380.34/9,570.97 = 1,700.33/x
  3. Step 3: Cross multiply
    6,380.34x = 9,570.97 × 1,700.33
  4. Step 4: Simplify right side
    6,380.34x = 16,273,804.46
  5. Step 5: Solve for x
    x = 16,273,804.46/6,380.34
  6. Step 6: Final answer
    x = 2,550.62

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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.