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Finding the Fourth Proportional to 11,813.56, 16,304.94 and 7,034.56

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Solution

The fourth proportional to 11,813.56, 16,304.94 and 7,034.56 is: 9,709.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.56 : 16,304.94 = 7,034.56 : x
  2. Step 2: Convert to fraction form
    11,813.56/16,304.94 = 7,034.56/x
  3. Step 3: Cross multiply
    11,813.56x = 16,304.94 × 7,034.56
  4. Step 4: Simplify right side
    11,813.56x = 114,698,078.73
  5. Step 5: Solve for x
    x = 114,698,078.73/11,813.56
  6. Step 6: Final answer
    x = 9,709.02

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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.