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Finding the Fourth Proportional to 5,803.46, 8,704.07 and 1,642.46

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Solution

The fourth proportional to 5,803.46, 8,704.07 and 1,642.46 is: 2,463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.46 : 8,704.07 = 1,642.46 : x
  2. Step 2: Convert to fraction form
    5,803.46/8,704.07 = 1,642.46/x
  3. Step 3: Cross multiply
    5,803.46x = 8,704.07 × 1,642.46
  4. Step 4: Simplify right side
    5,803.46x = 14,296,099.44
  5. Step 5: Solve for x
    x = 14,296,099.44/5,803.46
  6. Step 6: Final answer
    x = 2,463.38

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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.