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Finding the Fourth Proportional to 11,944.44, 16,480.44 and 7,228.62

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Solution

The fourth proportional to 11,944.44, 16,480.44 and 7,228.62 is: 9,973.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944.44 : 16,480.44 = 7,228.62 : x
  2. Step 2: Convert to fraction form
    11,944.44/16,480.44 = 7,228.62/x
  3. Step 3: Cross multiply
    11,944.44x = 16,480.44 × 7,228.62
  4. Step 4: Simplify right side
    11,944.44x = 119,130,838.19
  5. Step 5: Solve for x
    x = 119,130,838.19/11,944.44
  6. Step 6: Final answer
    x = 9,973.75

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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.