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Finding the Fourth Proportional to 6,555.42, 9,834.21 and 3,268.62

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Solution

The fourth proportional to 6,555.42, 9,834.21 and 3,268.62 is: 4,903.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.42 : 9,834.21 = 3,268.62 : x
  2. Step 2: Convert to fraction form
    6,555.42/9,834.21 = 3,268.62/x
  3. Step 3: Cross multiply
    6,555.42x = 9,834.21 × 3,268.62
  4. Step 4: Simplify right side
    6,555.42x = 32,144,295.49
  5. Step 5: Solve for x
    x = 32,144,295.49/6,555.42
  6. Step 6: Final answer
    x = 4,903.47

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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.