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Finding the Fourth Proportional to 11,928.36, 16,475.94 and 9,414.12

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Solution

The fourth proportional to 11,928.36, 16,475.94 and 9,414.12 is: 13,003.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,928.36 : 16,475.94 = 9,414.12 : x
  2. Step 2: Convert to fraction form
    11,928.36/16,475.94 = 9,414.12/x
  3. Step 3: Cross multiply
    11,928.36x = 16,475.94 × 9,414.12
  4. Step 4: Simplify right side
    11,928.36x = 155,106,476.27
  5. Step 5: Solve for x
    x = 155,106,476.27/11,928.36
  6. Step 6: Final answer
    x = 13,003.17

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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.