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Finding the Fourth Proportional to 6,164.16, 9,241.44 and 3,085.44

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Solution

The fourth proportional to 6,164.16, 9,241.44 and 3,085.44 is: 4,625.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.16 : 9,241.44 = 3,085.44 : x
  2. Step 2: Convert to fraction form
    6,164.16/9,241.44 = 3,085.44/x
  3. Step 3: Cross multiply
    6,164.16x = 9,241.44 × 3,085.44
  4. Step 4: Simplify right side
    6,164.16x = 28,513,908.63
  5. Step 5: Solve for x
    x = 28,513,908.63/6,164.16
  6. Step 6: Final answer
    x = 4,625.76

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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.