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Finding the Fourth Proportional to 9,221.63, 13,825.89 and 5,063.58

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Solution

The fourth proportional to 9,221.63, 13,825.89 and 5,063.58 is: 7,591.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.63 : 13,825.89 = 5,063.58 : x
  2. Step 2: Convert to fraction form
    9,221.63/13,825.89 = 5,063.58/x
  3. Step 3: Cross multiply
    9,221.63x = 13,825.89 × 5,063.58
  4. Step 4: Simplify right side
    9,221.63x = 70,008,500.09
  5. Step 5: Solve for x
    x = 70,008,500.09/9,221.63
  6. Step 6: Final answer
    x = 7,591.77

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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.