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Finding the Fourth Proportional to 6,516.50, 8,992.32 and 4,158.38

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Solution

The fourth proportional to 6,516.50, 8,992.32 and 4,158.38 is: 5,738.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.50 : 8,992.32 = 4,158.38 : x
  2. Step 2: Convert to fraction form
    6,516.50/8,992.32 = 4,158.38/x
  3. Step 3: Cross multiply
    6,516.50x = 8,992.32 × 4,158.38
  4. Step 4: Simplify right side
    6,516.50x = 37,393,438.68
  5. Step 5: Solve for x
    x = 37,393,438.68/6,516.50
  6. Step 6: Final answer
    x = 5,738.27

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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.