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Finding the Fourth Proportional to 7,892.94, 11,828.11 and 5,796.49

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Solution

The fourth proportional to 7,892.94, 11,828.11 and 5,796.49 is: 8,686.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.94 : 11,828.11 = 5,796.49 : x
  2. Step 2: Convert to fraction form
    7,892.94/11,828.11 = 5,796.49/x
  3. Step 3: Cross multiply
    7,892.94x = 11,828.11 × 5,796.49
  4. Step 4: Simplify right side
    7,892.94x = 68,561,521.33
  5. Step 5: Solve for x
    x = 68,561,521.33/7,892.94
  6. Step 6: Final answer
    x = 8,686.44

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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.