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Finding the Fourth Proportional to 6,482.49, 9,725.27 and 2,099.94

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Solution

The fourth proportional to 6,482.49, 9,725.27 and 2,099.94 is: 3,150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.49 : 9,725.27 = 2,099.94 : x
  2. Step 2: Convert to fraction form
    6,482.49/9,725.27 = 2,099.94/x
  3. Step 3: Cross multiply
    6,482.49x = 9,725.27 × 2,099.94
  4. Step 4: Simplify right side
    6,482.49x = 20,422,483.48
  5. Step 5: Solve for x
    x = 20,422,483.48/6,482.49
  6. Step 6: Final answer
    x = 3,150.41

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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.