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Finding the Fourth Proportional to 11,944.98, 17,920.10 and 4,549.48

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Solution

The fourth proportional to 11,944.98, 17,920.10 and 4,549.48 is: 6,825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944.98 : 17,920.10 = 4,549.48 : x
  2. Step 2: Convert to fraction form
    11,944.98/17,920.10 = 4,549.48/x
  3. Step 3: Cross multiply
    11,944.98x = 17,920.10 × 4,549.48
  4. Step 4: Simplify right side
    11,944.98x = 81,527,136.55
  5. Step 5: Solve for x
    x = 81,527,136.55/11,944.98
  6. Step 6: Final answer
    x = 6,825.22

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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.