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Finding the Fourth Proportional to 6,518.45, 9,776.63 and 2,075.54

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Solution

The fourth proportional to 6,518.45, 9,776.63 and 2,075.54 is: 3,112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.45 : 9,776.63 = 2,075.54 : x
  2. Step 2: Convert to fraction form
    6,518.45/9,776.63 = 2,075.54/x
  3. Step 3: Cross multiply
    6,518.45x = 9,776.63 × 2,075.54
  4. Step 4: Simplify right side
    6,518.45x = 20,291,742.94
  5. Step 5: Solve for x
    x = 20,291,742.94/6,518.45
  6. Step 6: Final answer
    x = 3,112.97

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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.