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Finding the Fourth Proportional to 13,735.28, 18,954.64 and 7,447.64

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Solution

The fourth proportional to 13,735.28, 18,954.64 and 7,447.64 is: 10,277.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.28 : 18,954.64 = 7,447.64 : x
  2. Step 2: Convert to fraction form
    13,735.28/18,954.64 = 7,447.64/x
  3. Step 3: Cross multiply
    13,735.28x = 18,954.64 × 7,447.64
  4. Step 4: Simplify right side
    13,735.28x = 141,167,335.05
  5. Step 5: Solve for x
    x = 141,167,335.05/13,735.28
  6. Step 6: Final answer
    x = 10,277.72

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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.