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Finding the Fourth Proportional to 6,140.85, 9,208.01 and 2,191.50

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Solution

The fourth proportional to 6,140.85, 9,208.01 and 2,191.50 is: 3,286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.85 : 9,208.01 = 2,191.50 : x
  2. Step 2: Convert to fraction form
    6,140.85/9,208.01 = 2,191.50/x
  3. Step 3: Cross multiply
    6,140.85x = 9,208.01 × 2,191.50
  4. Step 4: Simplify right side
    6,140.85x = 20,179,342.96
  5. Step 5: Solve for x
    x = 20,179,342.96/6,140.85
  6. Step 6: Final answer
    x = 3,286.08

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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.