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Finding the Fourth Proportional to 6,674.70, 9,211.28 and 3,650.00

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Solution

The fourth proportional to 6,674.70, 9,211.28 and 3,650.00 is: 5,037.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.70 : 9,211.28 = 3,650.00 : x
  2. Step 2: Convert to fraction form
    6,674.70/9,211.28 = 3,650.00/x
  3. Step 3: Cross multiply
    6,674.70x = 9,211.28 × 3,650.00
  4. Step 4: Simplify right side
    6,674.70x = 33,621,148.97
  5. Step 5: Solve for x
    x = 33,621,148.97/6,674.70
  6. Step 6: Final answer
    x = 5,037.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.