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Finding the Fourth Proportional to 9,035.64, 13,464.78 and 8,738.37

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Solution

The fourth proportional to 9,035.64, 13,464.78 and 8,738.37 is: 13,021.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,035.64 : 13,464.78 = 8,738.37 : x
  2. Step 2: Convert to fraction form
    9,035.64/13,464.78 = 8,738.37/x
  3. Step 3: Cross multiply
    9,035.64x = 13,464.78 × 8,738.37
  4. Step 4: Simplify right side
    9,035.64x = 117,660,229.61
  5. Step 5: Solve for x
    x = 117,660,229.61/9,035.64
  6. Step 6: Final answer
    x = 13,021.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.