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Finding the Fourth Proportional to 13,648.70, 18,840.09 and 8,344.01

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Solution

The fourth proportional to 13,648.70, 18,840.09 and 8,344.01 is: 11,517.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.70 : 18,840.09 = 8,344.01 : x
  2. Step 2: Convert to fraction form
    13,648.70/18,840.09 = 8,344.01/x
  3. Step 3: Cross multiply
    13,648.70x = 18,840.09 × 8,344.01
  4. Step 4: Simplify right side
    13,648.70x = 157,201,977.75
  5. Step 5: Solve for x
    x = 157,201,977.75/13,648.70
  6. Step 6: Final answer
    x = 11,517.72

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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.