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Finding the Fourth Proportional to 9,102.96, 12,524.49 and 8,840.52

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Solution

The fourth proportional to 9,102.96, 12,524.49 and 8,840.52 is: 12,163.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.96 : 12,524.49 = 8,840.52 : x
  2. Step 2: Convert to fraction form
    9,102.96/12,524.49 = 8,840.52/x
  3. Step 3: Cross multiply
    9,102.96x = 12,524.49 × 8,840.52
  4. Step 4: Simplify right side
    9,102.96x = 110,723,004.33
  5. Step 5: Solve for x
    x = 110,723,004.33/9,102.96
  6. Step 6: Final answer
    x = 12,163.41

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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.