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Finding the Fourth Proportional to 11,467.98, 15,819.07 and 7,212.30

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Solution

The fourth proportional to 11,467.98, 15,819.07 and 7,212.30 is: 9,948.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467.98 : 15,819.07 = 7,212.30 : x
  2. Step 2: Convert to fraction form
    11,467.98/15,819.07 = 7,212.30/x
  3. Step 3: Cross multiply
    11,467.98x = 15,819.07 × 7,212.30
  4. Step 4: Simplify right side
    11,467.98x = 114,091,878.56
  5. Step 5: Solve for x
    x = 114,091,878.56/11,467.98
  6. Step 6: Final answer
    x = 9,948.73

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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.