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Finding the Fourth Proportional to 6,935.09, 10,401.51 and 2,551.50

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Solution

The fourth proportional to 6,935.09, 10,401.51 and 2,551.50 is: 3,826.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.09 : 10,401.51 = 2,551.50 : x
  2. Step 2: Convert to fraction form
    6,935.09/10,401.51 = 2,551.50/x
  3. Step 3: Cross multiply
    6,935.09x = 10,401.51 × 2,551.50
  4. Step 4: Simplify right side
    6,935.09x = 26,539,462.33
  5. Step 5: Solve for x
    x = 26,539,462.33/6,935.09
  6. Step 6: Final answer
    x = 3,826.84

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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.