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Finding the Fourth Proportional to 8,523.86, 11,763.20 and 4,643.54

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Solution

The fourth proportional to 8,523.86, 11,763.20 and 4,643.54 is: 6,408.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.86 : 11,763.20 = 4,643.54 : x
  2. Step 2: Convert to fraction form
    8,523.86/11,763.20 = 4,643.54/x
  3. Step 3: Cross multiply
    8,523.86x = 11,763.20 × 4,643.54
  4. Step 4: Simplify right side
    8,523.86x = 54,622,889.73
  5. Step 5: Solve for x
    x = 54,622,889.73/8,523.86
  6. Step 6: Final answer
    x = 6,408.23

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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.