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Finding the Fourth Proportional to 6,197.54, 9,295.86 and 2,037.50

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Solution

The fourth proportional to 6,197.54, 9,295.86 and 2,037.50 is: 3,056.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.54 : 9,295.86 = 2,037.50 : x
  2. Step 2: Convert to fraction form
    6,197.54/9,295.86 = 2,037.50/x
  3. Step 3: Cross multiply
    6,197.54x = 9,295.86 × 2,037.50
  4. Step 4: Simplify right side
    6,197.54x = 18,940,314.75
  5. Step 5: Solve for x
    x = 18,940,314.75/6,197.54
  6. Step 6: Final answer
    x = 3,056.10

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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.