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Finding the Fourth Proportional to 6,491.04, 9,725.04 and 3,409.44

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Solution

The fourth proportional to 6,491.04, 9,725.04 and 3,409.44 is: 5,108.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.04 : 9,725.04 = 3,409.44 : x
  2. Step 2: Convert to fraction form
    6,491.04/9,725.04 = 3,409.44/x
  3. Step 3: Cross multiply
    6,491.04x = 9,725.04 × 3,409.44
  4. Step 4: Simplify right side
    6,491.04x = 33,156,940.38
  5. Step 5: Solve for x
    x = 33,156,940.38/6,491.04
  6. Step 6: Final answer
    x = 5,108.11

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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.