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Finding the Fourth Proportional to 6,730.51, 10,096.34 and 2,050.42

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Solution

The fourth proportional to 6,730.51, 10,096.34 and 2,050.42 is: 3,075.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.51 : 10,096.34 = 2,050.42 : x
  2. Step 2: Convert to fraction form
    6,730.51/10,096.34 = 2,050.42/x
  3. Step 3: Cross multiply
    6,730.51x = 10,096.34 × 2,050.42
  4. Step 4: Simplify right side
    6,730.51x = 20,701,737.46
  5. Step 5: Solve for x
    x = 20,701,737.46/6,730.51
  6. Step 6: Final answer
    x = 3,075.81

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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.