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Finding the Fourth Proportional to 25,832.86, 38,750.24 and 7,114.34

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Solution

The fourth proportional to 25,832.86, 38,750.24 and 7,114.34 is: 10,671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,832.86 : 38,750.24 = 7,114.34 : x
  2. Step 2: Convert to fraction form
    25,832.86/38,750.24 = 7,114.34/x
  3. Step 3: Cross multiply
    25,832.86x = 38,750.24 × 7,114.34
  4. Step 4: Simplify right side
    25,832.86x = 275,682,497.10
  5. Step 5: Solve for x
    x = 275,682,497.10/25,832.86
  6. Step 6: Final answer
    x = 10,671.78

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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.