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Finding the Fourth Proportional to 6,518.65, 9,774.21 and 2,075.44

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Solution

The fourth proportional to 6,518.65, 9,774.21 and 2,075.44 is: 3,111.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.65 : 9,774.21 = 2,075.44 : x
  2. Step 2: Convert to fraction form
    6,518.65/9,774.21 = 2,075.44/x
  3. Step 3: Cross multiply
    6,518.65x = 9,774.21 × 2,075.44
  4. Step 4: Simplify right side
    6,518.65x = 20,285,786.40
  5. Step 5: Solve for x
    x = 20,285,786.40/6,518.65
  6. Step 6: Final answer
    x = 3,111.96

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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.