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Finding the Fourth Proportional to 6,205.50, 9,308.25 and 2,699.01

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Solution

The fourth proportional to 6,205.50, 9,308.25 and 2,699.01 is: 4,048.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.50 : 9,308.25 = 2,699.01 : x
  2. Step 2: Convert to fraction form
    6,205.50/9,308.25 = 2,699.01/x
  3. Step 3: Cross multiply
    6,205.50x = 9,308.25 × 2,699.01
  4. Step 4: Simplify right side
    6,205.50x = 25,123,059.83
  5. Step 5: Solve for x
    x = 25,123,059.83/6,205.50
  6. Step 6: Final answer
    x = 4,048.52

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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.