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Finding the Fourth Proportional to 6,100.56, 9,152.28 and 2,205

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Solution

The fourth proportional to 6,100.56, 9,152.28 and 2,205 is: 3,308.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.56 : 9,152.28 = 2,205 : x
  2. Step 2: Convert to fraction form
    6,100.56/9,152.28 = 2,205/x
  3. Step 3: Cross multiply
    6,100.56x = 9,152.28 × 2,205
  4. Step 4: Simplify right side
    6,100.56x = 20,180,777.40
  5. Step 5: Solve for x
    x = 20,180,777.40/6,100.56
  6. Step 6: Final answer
    x = 3,308.02

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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.