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Finding the Fourth Proportional to 6,741.53, 9,303.69 and 3,757.49

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Solution

The fourth proportional to 6,741.53, 9,303.69 and 3,757.49 is: 5,185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.53 : 9,303.69 = 3,757.49 : x
  2. Step 2: Convert to fraction form
    6,741.53/9,303.69 = 3,757.49/x
  3. Step 3: Cross multiply
    6,741.53x = 9,303.69 × 3,757.49
  4. Step 4: Simplify right side
    6,741.53x = 34,958,475.62
  5. Step 5: Solve for x
    x = 34,958,475.62/6,741.53
  6. Step 6: Final answer
    x = 5,185.54

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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.