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Finding the Fourth Proportional to 6,380.04, 9,568.98 and 1,763.04

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Solution

The fourth proportional to 6,380.04, 9,568.98 and 1,763.04 is: 2,644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.04 : 9,568.98 = 1,763.04 : x
  2. Step 2: Convert to fraction form
    6,380.04/9,568.98 = 1,763.04/x
  3. Step 3: Cross multiply
    6,380.04x = 9,568.98 × 1,763.04
  4. Step 4: Simplify right side
    6,380.04x = 16,870,494.50
  5. Step 5: Solve for x
    x = 16,870,494.50/6,380.04
  6. Step 6: Final answer
    x = 2,644.26

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Why These Related Problems?

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