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Finding the Fourth Proportional to 12,467.96, 17,204.54 and 7,362.68

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Solution

The fourth proportional to 12,467.96, 17,204.54 and 7,362.68 is: 10,159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.96 : 17,204.54 = 7,362.68 : x
  2. Step 2: Convert to fraction form
    12,467.96/17,204.54 = 7,362.68/x
  3. Step 3: Cross multiply
    12,467.96x = 17,204.54 × 7,362.68
  4. Step 4: Simplify right side
    12,467.96x = 126,671,522.57
  5. Step 5: Solve for x
    x = 126,671,522.57/12,467.96
  6. Step 6: Final answer
    x = 10,159.76

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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.