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Finding the Fourth Proportional to 6,698.50, 10,032.99 and 3,770.26

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Solution

The fourth proportional to 6,698.50, 10,032.99 and 3,770.26 is: 5,647.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.50 : 10,032.99 = 3,770.26 : x
  2. Step 2: Convert to fraction form
    6,698.50/10,032.99 = 3,770.26/x
  3. Step 3: Cross multiply
    6,698.50x = 10,032.99 × 3,770.26
  4. Step 4: Simplify right side
    6,698.50x = 37,826,980.88
  5. Step 5: Solve for x
    x = 37,826,980.88/6,698.50
  6. Step 6: Final answer
    x = 5,647.08

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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.