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Finding the Fourth Proportional to 11,980.85, 16,532.03 and 6,944.37

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Solution

The fourth proportional to 11,980.85, 16,532.03 and 6,944.37 is: 9,582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.85 : 16,532.03 = 6,944.37 : x
  2. Step 2: Convert to fraction form
    11,980.85/16,532.03 = 6,944.37/x
  3. Step 3: Cross multiply
    11,980.85x = 16,532.03 × 6,944.37
  4. Step 4: Simplify right side
    11,980.85x = 114,804,488.54
  5. Step 5: Solve for x
    x = 114,804,488.54/11,980.85
  6. Step 6: Final answer
    x = 9,582.34

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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.