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Finding the Fourth Proportional to 5,784.14, 8,668.01 and 4,227.73

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Solution

The fourth proportional to 5,784.14, 8,668.01 and 4,227.73 is: 6,335.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.14 : 8,668.01 = 4,227.73 : x
  2. Step 2: Convert to fraction form
    5,784.14/8,668.01 = 4,227.73/x
  3. Step 3: Cross multiply
    5,784.14x = 8,668.01 × 4,227.73
  4. Step 4: Simplify right side
    5,784.14x = 36,645,994.82
  5. Step 5: Solve for x
    x = 36,645,994.82/5,784.14
  6. Step 6: Final answer
    x = 6,335.60

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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.