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Finding the Fourth Proportional to 6,093.51, 9,143.84 and 3,872.24

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Solution

The fourth proportional to 6,093.51, 9,143.84 and 3,872.24 is: 5,810.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.51 : 9,143.84 = 3,872.24 : x
  2. Step 2: Convert to fraction form
    6,093.51/9,143.84 = 3,872.24/x
  3. Step 3: Cross multiply
    6,093.51x = 9,143.84 × 3,872.24
  4. Step 4: Simplify right side
    6,093.51x = 35,407,143.00
  5. Step 5: Solve for x
    x = 35,407,143.00/6,093.51
  6. Step 6: Final answer
    x = 5,810.63

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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.