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Finding the Fourth Proportional to 11,970.98, 16,512.47 and 8,608.47

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Solution

The fourth proportional to 11,970.98, 16,512.47 and 8,608.47 is: 11,874.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.98 : 16,512.47 = 8,608.47 : x
  2. Step 2: Convert to fraction form
    11,970.98/16,512.47 = 8,608.47/x
  3. Step 3: Cross multiply
    11,970.98x = 16,512.47 × 8,608.47
  4. Step 4: Simplify right side
    11,970.98x = 142,147,088.49
  5. Step 5: Solve for x
    x = 142,147,088.49/11,970.98
  6. Step 6: Final answer
    x = 11,874.31

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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.