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Finding the Fourth Proportional to 6,975.94, 10,463.91 and 2,594.50

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Solution

The fourth proportional to 6,975.94, 10,463.91 and 2,594.50 is: 3,891.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.94 : 10,463.91 = 2,594.50 : x
  2. Step 2: Convert to fraction form
    6,975.94/10,463.91 = 2,594.50/x
  3. Step 3: Cross multiply
    6,975.94x = 10,463.91 × 2,594.50
  4. Step 4: Simplify right side
    6,975.94x = 27,148,614.50
  5. Step 5: Solve for x
    x = 27,148,614.50/6,975.94
  6. Step 6: Final answer
    x = 3,891.75

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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.