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Finding the Fourth Proportional to 6,464.46, 8,923.14 and 4,198.89

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Solution

The fourth proportional to 6,464.46, 8,923.14 and 4,198.89 is: 5,795.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.46 : 8,923.14 = 4,198.89 : x
  2. Step 2: Convert to fraction form
    6,464.46/8,923.14 = 4,198.89/x
  3. Step 3: Cross multiply
    6,464.46x = 8,923.14 × 4,198.89
  4. Step 4: Simplify right side
    6,464.46x = 37,467,283.31
  5. Step 5: Solve for x
    x = 37,467,283.31/6,464.46
  6. Step 6: Final answer
    x = 5,795.89

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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.