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Finding the Fourth Proportional to 6,777.51, 10,166.74 and 2,096.90

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Solution

The fourth proportional to 6,777.51, 10,166.74 and 2,096.90 is: 3,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.51 : 10,166.74 = 2,096.90 : x
  2. Step 2: Convert to fraction form
    6,777.51/10,166.74 = 2,096.90/x
  3. Step 3: Cross multiply
    6,777.51x = 10,166.74 × 2,096.90
  4. Step 4: Simplify right side
    6,777.51x = 21,318,629.24
  5. Step 5: Solve for x
    x = 21,318,629.24/6,777.51
  6. Step 6: Final answer
    x = 3,145.50

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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.