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Finding the Fourth Proportional to 6,562.49, 9,838.54 and 3,273.89

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Solution

The fourth proportional to 6,562.49, 9,838.54 and 3,273.89 is: 4,908.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.49 : 9,838.54 = 3,273.89 : x
  2. Step 2: Convert to fraction form
    6,562.49/9,838.54 = 3,273.89/x
  3. Step 3: Cross multiply
    6,562.49x = 9,838.54 × 3,273.89
  4. Step 4: Simplify right side
    6,562.49x = 32,210,297.72
  5. Step 5: Solve for x
    x = 32,210,297.72/6,562.49
  6. Step 6: Final answer
    x = 4,908.24

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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.