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Finding the Fourth Proportional to 6,096.52, 9,157.20 and 4,019.50

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Solution

The fourth proportional to 6,096.52, 9,157.20 and 4,019.50 is: 6,037.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.52 : 9,157.20 = 4,019.50 : x
  2. Step 2: Convert to fraction form
    6,096.52/9,157.20 = 4,019.50/x
  3. Step 3: Cross multiply
    6,096.52x = 9,157.20 × 4,019.50
  4. Step 4: Simplify right side
    6,096.52x = 36,807,365.40
  5. Step 5: Solve for x
    x = 36,807,365.40/6,096.52
  6. Step 6: Final answer
    x = 6,037.44

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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.