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Finding the Fourth Proportional to 11,796.52, 16,279.14 and 7,318.84

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Solution

The fourth proportional to 11,796.52, 16,279.14 and 7,318.84 is: 10,099.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.52 : 16,279.14 = 7,318.84 : x
  2. Step 2: Convert to fraction form
    11,796.52/16,279.14 = 7,318.84/x
  3. Step 3: Cross multiply
    11,796.52x = 16,279.14 × 7,318.84
  4. Step 4: Simplify right side
    11,796.52x = 119,144,421.00
  5. Step 5: Solve for x
    x = 119,144,421.00/11,796.52
  6. Step 6: Final answer
    x = 10,099.96

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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.