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Finding the Fourth Proportional to 11,853.96, 17,775.06 and 6,924.84

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Solution

The fourth proportional to 11,853.96, 17,775.06 and 6,924.84 is: 10,383.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.96 : 17,775.06 = 6,924.84 : x
  2. Step 2: Convert to fraction form
    11,853.96/17,775.06 = 6,924.84/x
  3. Step 3: Cross multiply
    11,853.96x = 17,775.06 × 6,924.84
  4. Step 4: Simplify right side
    11,853.96x = 123,089,446.49
  5. Step 5: Solve for x
    x = 123,089,446.49/11,853.96
  6. Step 6: Final answer
    x = 10,383.83

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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.