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Finding the Fourth Proportional to 13,735.50, 18,954.94 and 7,447.88

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Solution

The fourth proportional to 13,735.50, 18,954.94 and 7,447.88 is: 10,278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.50 : 18,954.94 = 7,447.88 : x
  2. Step 2: Convert to fraction form
    13,735.50/18,954.94 = 7,447.88/x
  3. Step 3: Cross multiply
    13,735.50x = 18,954.94 × 7,447.88
  4. Step 4: Simplify right side
    13,735.50x = 141,174,118.53
  5. Step 5: Solve for x
    x = 141,174,118.53/13,735.50
  6. Step 6: Final answer
    x = 10,278.05

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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.