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Finding the Fourth Proportional to 8,027.47, 11,078.94 and 4,490.88

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Solution

The fourth proportional to 8,027.47, 11,078.94 and 4,490.88 is: 6,197.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.47 : 11,078.94 = 4,490.88 : x
  2. Step 2: Convert to fraction form
    8,027.47/11,078.94 = 4,490.88/x
  3. Step 3: Cross multiply
    8,027.47x = 11,078.94 × 4,490.88
  4. Step 4: Simplify right side
    8,027.47x = 49,754,190.07
  5. Step 5: Solve for x
    x = 49,754,190.07/8,027.47
  6. Step 6: Final answer
    x = 6,197.99

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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.