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Finding the Fourth Proportional to 6,170.88, 8,517.84 and 4,914.24

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Solution

The fourth proportional to 6,170.88, 8,517.84 and 4,914.24 is: 6,783.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.88 : 8,517.84 = 4,914.24 : x
  2. Step 2: Convert to fraction form
    6,170.88/8,517.84 = 4,914.24/x
  3. Step 3: Cross multiply
    6,170.88x = 8,517.84 × 4,914.24
  4. Step 4: Simplify right side
    6,170.88x = 41,858,710.04
  5. Step 5: Solve for x
    x = 41,858,710.04/6,170.88
  6. Step 6: Final answer
    x = 6,783.26

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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.