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Finding the Fourth Proportional to 6,735.51, 10,098.41 and 2,574.81

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Solution

The fourth proportional to 6,735.51, 10,098.41 and 2,574.81 is: 3,860.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.51 : 10,098.41 = 2,574.81 : x
  2. Step 2: Convert to fraction form
    6,735.51/10,098.41 = 2,574.81/x
  3. Step 3: Cross multiply
    6,735.51x = 10,098.41 × 2,574.81
  4. Step 4: Simplify right side
    6,735.51x = 26,001,474.18
  5. Step 5: Solve for x
    x = 26,001,474.18/6,735.51
  6. Step 6: Final answer
    x = 3,860.36

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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.