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Finding the Fourth Proportional to 6,094.44, 8,411.16 and 3,704.46

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Solution

The fourth proportional to 6,094.44, 8,411.16 and 3,704.46 is: 5,112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.44 : 8,411.16 = 3,704.46 : x
  2. Step 2: Convert to fraction form
    6,094.44/8,411.16 = 3,704.46/x
  3. Step 3: Cross multiply
    6,094.44x = 8,411.16 × 3,704.46
  4. Step 4: Simplify right side
    6,094.44x = 31,158,805.77
  5. Step 5: Solve for x
    x = 31,158,805.77/6,094.44
  6. Step 6: Final answer
    x = 5,112.66

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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.