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Finding the Fourth Proportional to 6,825.96, 9,421.38 and 4,033.08

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Solution

The fourth proportional to 6,825.96, 9,421.38 and 4,033.08 is: 5,566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.96 : 9,421.38 = 4,033.08 : x
  2. Step 2: Convert to fraction form
    6,825.96/9,421.38 = 4,033.08/x
  3. Step 3: Cross multiply
    6,825.96x = 9,421.38 × 4,033.08
  4. Step 4: Simplify right side
    6,825.96x = 37,997,179.25
  5. Step 5: Solve for x
    x = 37,997,179.25/6,825.96
  6. Step 6: Final answer
    x = 5,566.57

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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.