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Finding the Fourth Proportional to 7,892.81, 11,827.93 and 5,796.37

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Solution

The fourth proportional to 7,892.81, 11,827.93 and 5,796.37 is: 8,686.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.81 : 11,827.93 = 5,796.37 : x
  2. Step 2: Convert to fraction form
    7,892.81/11,827.93 = 5,796.37/x
  3. Step 3: Cross multiply
    7,892.81x = 11,827.93 × 5,796.37
  4. Step 4: Simplify right side
    7,892.81x = 68,559,058.61
  5. Step 5: Solve for x
    x = 68,559,058.61/7,892.81
  6. Step 6: Final answer
    x = 8,686.27

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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.