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Finding the Fourth Proportional to 6,759.68, 9,327.44 and 3,775.14

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Solution

The fourth proportional to 6,759.68, 9,327.44 and 3,775.14 is: 5,209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,759.68 : 9,327.44 = 3,775.14 : x
  2. Step 2: Convert to fraction form
    6,759.68/9,327.44 = 3,775.14/x
  3. Step 3: Cross multiply
    6,759.68x = 9,327.44 × 3,775.14
  4. Step 4: Simplify right side
    6,759.68x = 35,212,391.84
  5. Step 5: Solve for x
    x = 35,212,391.84/6,759.68
  6. Step 6: Final answer
    x = 5,209.18

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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.