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Finding the Fourth Proportional to 6,192.53, 9,289.67 and 1,809.98

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Solution

The fourth proportional to 6,192.53, 9,289.67 and 1,809.98 is: 2,715.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.53 : 9,289.67 = 1,809.98 : x
  2. Step 2: Convert to fraction form
    6,192.53/9,289.67 = 1,809.98/x
  3. Step 3: Cross multiply
    6,192.53x = 9,289.67 × 1,809.98
  4. Step 4: Simplify right side
    6,192.53x = 16,814,061.41
  5. Step 5: Solve for x
    x = 16,814,061.41/6,192.53
  6. Step 6: Final answer
    x = 2,715.22

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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.