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Finding the Fourth Proportional to 6,376.94, 9,565.96 and 1,759.94

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Solution

The fourth proportional to 6,376.94, 9,565.96 and 1,759.94 is: 2,640.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.94 : 9,565.96 = 1,759.94 : x
  2. Step 2: Convert to fraction form
    6,376.94/9,565.96 = 1,759.94/x
  3. Step 3: Cross multiply
    6,376.94x = 9,565.96 × 1,759.94
  4. Step 4: Simplify right side
    6,376.94x = 16,835,515.64
  5. Step 5: Solve for x
    x = 16,835,515.64/6,376.94
  6. Step 6: Final answer
    x = 2,640.06

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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.