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Finding the Fourth Proportional to 6,038.44, 9,057.44 and 4,076.96

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Solution

The fourth proportional to 6,038.44, 9,057.44 and 4,076.96 is: 6,115.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.44 : 9,057.44 = 4,076.96 : x
  2. Step 2: Convert to fraction form
    6,038.44/9,057.44 = 4,076.96/x
  3. Step 3: Cross multiply
    6,038.44x = 9,057.44 × 4,076.96
  4. Step 4: Simplify right side
    6,038.44x = 36,926,820.58
  5. Step 5: Solve for x
    x = 36,926,820.58/6,038.44
  6. Step 6: Final answer
    x = 6,115.29

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1.5x scale

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.