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Finding the Fourth Proportional to 6,376.07, 9,564.62 and 1,993.50

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Solution

The fourth proportional to 6,376.07, 9,564.62 and 1,993.50 is: 2,990.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.07 : 9,564.62 = 1,993.50 : x
  2. Step 2: Convert to fraction form
    6,376.07/9,564.62 = 1,993.50/x
  3. Step 3: Cross multiply
    6,376.07x = 9,564.62 × 1,993.50
  4. Step 4: Simplify right side
    6,376.07x = 19,067,060.00
  5. Step 5: Solve for x
    x = 19,067,060.00/6,376.07
  6. Step 6: Final answer
    x = 2,990.41

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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.