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Finding the Fourth Proportional to 6,224.42, 9,338.11 and 1,782.15

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Solution

The fourth proportional to 6,224.42, 9,338.11 and 1,782.15 is: 2,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.42 : 9,338.11 = 1,782.15 : x
  2. Step 2: Convert to fraction form
    6,224.42/9,338.11 = 1,782.15/x
  3. Step 3: Cross multiply
    6,224.42x = 9,338.11 × 1,782.15
  4. Step 4: Simplify right side
    6,224.42x = 16,641,912.74
  5. Step 5: Solve for x
    x = 16,641,912.74/6,224.42
  6. Step 6: Final answer
    x = 2,673.65

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1.5x scale

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.