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Finding the Fourth Proportional to 6,643.50, 9,969.57 and 2,539.50

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Solution

The fourth proportional to 6,643.50, 9,969.57 and 2,539.50 is: 3,810.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.50 : 9,969.57 = 2,539.50 : x
  2. Step 2: Convert to fraction form
    6,643.50/9,969.57 = 2,539.50/x
  3. Step 3: Cross multiply
    6,643.50x = 9,969.57 × 2,539.50
  4. Step 4: Simplify right side
    6,643.50x = 25,317,723.02
  5. Step 5: Solve for x
    x = 25,317,723.02/6,643.50
  6. Step 6: Final answer
    x = 3,810.90

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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.