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Finding the Fourth Proportional to 13,735.25, 18,954.54 and 7,447.62

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Solution

The fourth proportional to 13,735.25, 18,954.54 and 7,447.62 is: 10,277.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.25 : 18,954.54 = 7,447.62 : x
  2. Step 2: Convert to fraction form
    13,735.25/18,954.54 = 7,447.62/x
  3. Step 3: Cross multiply
    13,735.25x = 18,954.54 × 7,447.62
  4. Step 4: Simplify right side
    13,735.25x = 141,166,211.19
  5. Step 5: Solve for x
    x = 141,166,211.19/13,735.25
  6. Step 6: Final answer
    x = 10,277.66

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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.