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Finding the Fourth Proportional to 13,761, 18,993.71 and 8,387.08

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Solution

The fourth proportional to 13,761, 18,993.71 and 8,387.08 is: 11,576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761 : 18,993.71 = 8,387.08 : x
  2. Step 2: Convert to fraction form
    13,761/18,993.71 = 8,387.08/x
  3. Step 3: Cross multiply
    13,761x = 18,993.71 × 8,387.08
  4. Step 4: Simplify right side
    13,761x = 159,301,738.75
  5. Step 5: Solve for x
    x = 159,301,738.75/13,761
  6. Step 6: Final answer
    x = 11,576.32

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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.