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Finding the Fourth Proportional to 7,069.87, 10,589.41 and 6,451.03

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Solution

The fourth proportional to 7,069.87, 10,589.41 and 6,451.03 is: 9,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069.87 : 10,589.41 = 6,451.03 : x
  2. Step 2: Convert to fraction form
    7,069.87/10,589.41 = 6,451.03/x
  3. Step 3: Cross multiply
    7,069.87x = 10,589.41 × 6,451.03
  4. Step 4: Simplify right side
    7,069.87x = 68,312,601.59
  5. Step 5: Solve for x
    x = 68,312,601.59/7,069.87
  6. Step 6: Final answer
    x = 9,662.50

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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.