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Finding the Fourth Proportional to 6,124.46, 9,187.50 and 1,963.09

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Solution

The fourth proportional to 6,124.46, 9,187.50 and 1,963.09 is: 2,944.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124.46 : 9,187.50 = 1,963.09 : x
  2. Step 2: Convert to fraction form
    6,124.46/9,187.50 = 1,963.09/x
  3. Step 3: Cross multiply
    6,124.46x = 9,187.50 × 1,963.09
  4. Step 4: Simplify right side
    6,124.46x = 18,035,856.54
  5. Step 5: Solve for x
    x = 18,035,856.54/6,124.46
  6. Step 6: Final answer
    x = 2,944.89

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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.