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Finding the Fourth Proportional to 6,352.26, 9,527.76 and 1,969.80

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Solution

The fourth proportional to 6,352.26, 9,527.76 and 1,969.80 is: 2,954.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.26 : 9,527.76 = 1,969.80 : x
  2. Step 2: Convert to fraction form
    6,352.26/9,527.76 = 1,969.80/x
  3. Step 3: Cross multiply
    6,352.26x = 9,527.76 × 1,969.80
  4. Step 4: Simplify right side
    6,352.26x = 18,767,781.65
  5. Step 5: Solve for x
    x = 18,767,781.65/6,352.26
  6. Step 6: Final answer
    x = 2,954.50

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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.