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Finding the Fourth Proportional to 6,232.50, 9,349.92 and 2,769.84

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Solution

The fourth proportional to 6,232.50, 9,349.92 and 2,769.84 is: 4,155.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.50 : 9,349.92 = 2,769.84 : x
  2. Step 2: Convert to fraction form
    6,232.50/9,349.92 = 2,769.84/x
  3. Step 3: Cross multiply
    6,232.50x = 9,349.92 × 2,769.84
  4. Step 4: Simplify right side
    6,232.50x = 25,897,782.41
  5. Step 5: Solve for x
    x = 25,897,782.41/6,232.50
  6. Step 6: Final answer
    x = 4,155.28

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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.