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Finding the Fourth Proportional to 6,573.96, 9,839.76 and 3,449.58

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Solution

The fourth proportional to 6,573.96, 9,839.76 and 3,449.58 is: 5,163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.96 : 9,839.76 = 3,449.58 : x
  2. Step 2: Convert to fraction form
    6,573.96/9,839.76 = 3,449.58/x
  3. Step 3: Cross multiply
    6,573.96x = 9,839.76 × 3,449.58
  4. Step 4: Simplify right side
    6,573.96x = 33,943,039.30
  5. Step 5: Solve for x
    x = 33,943,039.30/6,573.96
  6. Step 6: Final answer
    x = 5,163.26

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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.