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Finding the Fourth Proportional to 6,844, 9,444.72 and 4,361.44

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Solution

The fourth proportional to 6,844, 9,444.72 and 4,361.44 is: 6,018.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844 : 9,444.72 = 4,361.44 : x
  2. Step 2: Convert to fraction form
    6,844/9,444.72 = 4,361.44/x
  3. Step 3: Cross multiply
    6,844x = 9,444.72 × 4,361.44
  4. Step 4: Simplify right side
    6,844x = 41,192,579.60
  5. Step 5: Solve for x
    x = 41,192,579.60/6,844
  6. Step 6: Final answer
    x = 6,018.79

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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.