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Finding the Fourth Proportional to 6,155.56, 9,234.96 and 2,260

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Solution

The fourth proportional to 6,155.56, 9,234.96 and 2,260 is: 3,390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.56 : 9,234.96 = 2,260 : x
  2. Step 2: Convert to fraction form
    6,155.56/9,234.96 = 2,260/x
  3. Step 3: Cross multiply
    6,155.56x = 9,234.96 × 2,260
  4. Step 4: Simplify right side
    6,155.56x = 20,871,009.60
  5. Step 5: Solve for x
    x = 20,871,009.60/6,155.56
  6. Step 6: Final answer
    x = 3,390.59

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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.