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Finding the Fourth Proportional to 6,063.36, 9,099.90 and 3,142.50

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Solution

The fourth proportional to 6,063.36, 9,099.90 and 3,142.50 is: 4,716.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,063.36 : 9,099.90 = 3,142.50 : x
  2. Step 2: Convert to fraction form
    6,063.36/9,099.90 = 3,142.50/x
  3. Step 3: Cross multiply
    6,063.36x = 9,099.90 × 3,142.50
  4. Step 4: Simplify right side
    6,063.36x = 28,596,435.75
  5. Step 5: Solve for x
    x = 28,596,435.75/6,063.36
  6. Step 6: Final answer
    x = 4,716.27

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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.