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Finding the Fourth Proportional to 6,835.56, 10,255.14 and 2,155.74

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Solution

The fourth proportional to 6,835.56, 10,255.14 and 2,155.74 is: 3,234.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.56 : 10,255.14 = 2,155.74 : x
  2. Step 2: Convert to fraction form
    6,835.56/10,255.14 = 2,155.74/x
  3. Step 3: Cross multiply
    6,835.56x = 10,255.14 × 2,155.74
  4. Step 4: Simplify right side
    6,835.56x = 22,107,415.50
  5. Step 5: Solve for x
    x = 22,107,415.50/6,835.56
  6. Step 6: Final answer
    x = 3,234.18

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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.