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Finding the Fourth Proportional to 6,817.09, 9,404.43 and 3,984.58

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Solution

The fourth proportional to 6,817.09, 9,404.43 and 3,984.58 is: 5,496.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.09 : 9,404.43 = 3,984.58 : x
  2. Step 2: Convert to fraction form
    6,817.09/9,404.43 = 3,984.58/x
  3. Step 3: Cross multiply
    6,817.09x = 9,404.43 × 3,984.58
  4. Step 4: Simplify right side
    6,817.09x = 37,472,705.58
  5. Step 5: Solve for x
    x = 37,472,705.58/6,817.09
  6. Step 6: Final answer
    x = 5,496.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.