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Finding the Fourth Proportional to 13,958.63, 19,262.91 and 7,671.41

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Solution

The fourth proportional to 13,958.63, 19,262.91 and 7,671.41 is: 10,586.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,958.63 : 19,262.91 = 7,671.41 : x
  2. Step 2: Convert to fraction form
    13,958.63/19,262.91 = 7,671.41/x
  3. Step 3: Cross multiply
    13,958.63x = 19,262.91 × 7,671.41
  4. Step 4: Simplify right side
    13,958.63x = 147,773,584.09
  5. Step 5: Solve for x
    x = 147,773,584.09/13,958.63
  6. Step 6: Final answer
    x = 10,586.54

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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.