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Finding the Fourth Proportional to 11,980.14, 16,532.34 and 6,944.22

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Solution

The fourth proportional to 11,980.14, 16,532.34 and 6,944.22 is: 9,582.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.14 : 16,532.34 = 6,944.22 : x
  2. Step 2: Convert to fraction form
    11,980.14/16,532.34 = 6,944.22/x
  3. Step 3: Cross multiply
    11,980.14x = 16,532.34 × 6,944.22
  4. Step 4: Simplify right side
    11,980.14x = 114,804,206.07
  5. Step 5: Solve for x
    x = 114,804,206.07/11,980.14
  6. Step 6: Final answer
    x = 9,582.88

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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.