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Finding the Fourth Proportional to 7,704.56, 10,628.92 and 4,516.24

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Solution

The fourth proportional to 7,704.56, 10,628.92 and 4,516.24 is: 6,230.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.56 : 10,628.92 = 4,516.24 : x
  2. Step 2: Convert to fraction form
    7,704.56/10,628.92 = 4,516.24/x
  3. Step 3: Cross multiply
    7,704.56x = 10,628.92 × 4,516.24
  4. Step 4: Simplify right side
    7,704.56x = 48,002,731.08
  5. Step 5: Solve for x
    x = 48,002,731.08/7,704.56
  6. Step 6: Final answer
    x = 6,230.43

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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.