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Finding the Fourth Proportional to 11,897.46, 17,826.73 and 7,203.25

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Solution

The fourth proportional to 11,897.46, 17,826.73 and 7,203.25 is: 10,793.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.46 : 17,826.73 = 7,203.25 : x
  2. Step 2: Convert to fraction form
    11,897.46/17,826.73 = 7,203.25/x
  3. Step 3: Cross multiply
    11,897.46x = 17,826.73 × 7,203.25
  4. Step 4: Simplify right side
    11,897.46x = 128,410,392.87
  5. Step 5: Solve for x
    x = 128,410,392.87/11,897.46
  6. Step 6: Final answer
    x = 10,793.09

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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.