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Finding the Fourth Proportional to 15,926, 23,889.05 and 4,832.78

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Solution

The fourth proportional to 15,926, 23,889.05 and 4,832.78 is: 7,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,926 : 23,889.05 = 4,832.78 : x
  2. Step 2: Convert to fraction form
    15,926/23,889.05 = 4,832.78/x
  3. Step 3: Cross multiply
    15,926x = 23,889.05 × 4,832.78
  4. Step 4: Simplify right side
    15,926x = 115,450,523.06
  5. Step 5: Solve for x
    x = 115,450,523.06/15,926
  6. Step 6: Final answer
    x = 7,249.19

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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.