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Finding the Fourth Proportional to 11,980.37, 16,533.09 and 6,944.95

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Solution

The fourth proportional to 11,980.37, 16,533.09 and 6,944.95 is: 9,584.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.37 : 16,533.09 = 6,944.95 : x
  2. Step 2: Convert to fraction form
    11,980.37/16,533.09 = 6,944.95/x
  3. Step 3: Cross multiply
    11,980.37x = 16,533.09 × 6,944.95
  4. Step 4: Simplify right side
    11,980.37x = 114,821,483.40
  5. Step 5: Solve for x
    x = 114,821,483.40/11,980.37
  6. Step 6: Final answer
    x = 9,584.13

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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.