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Finding the Fourth Proportional to 6,980.85, 10,471.32 and 2,050.47

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Solution

The fourth proportional to 6,980.85, 10,471.32 and 2,050.47 is: 3,075.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.85 : 10,471.32 = 2,050.47 : x
  2. Step 2: Convert to fraction form
    6,980.85/10,471.32 = 2,050.47/x
  3. Step 3: Cross multiply
    6,980.85x = 10,471.32 × 2,050.47
  4. Step 4: Simplify right side
    6,980.85x = 21,471,127.52
  5. Step 5: Solve for x
    x = 21,471,127.52/6,980.85
  6. Step 6: Final answer
    x = 3,075.72

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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.