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Finding the Fourth Proportional to 6,523.31, 9,784.43 and 1,843.13

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Solution

The fourth proportional to 6,523.31, 9,784.43 and 1,843.13 is: 2,764.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.31 : 9,784.43 = 1,843.13 : x
  2. Step 2: Convert to fraction form
    6,523.31/9,784.43 = 1,843.13/x
  3. Step 3: Cross multiply
    6,523.31x = 9,784.43 × 1,843.13
  4. Step 4: Simplify right side
    6,523.31x = 18,033,927.54
  5. Step 5: Solve for x
    x = 18,033,927.54/6,523.31
  6. Step 6: Final answer
    x = 2,764.54

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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.