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Finding the Fourth Proportional to 13,735.12, 18,954.48 and 7,447.50

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Solution

The fourth proportional to 13,735.12, 18,954.48 and 7,447.50 is: 10,277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.12 : 18,954.48 = 7,447.50 : x
  2. Step 2: Convert to fraction form
    13,735.12/18,954.48 = 7,447.50/x
  3. Step 3: Cross multiply
    13,735.12x = 18,954.48 × 7,447.50
  4. Step 4: Simplify right side
    13,735.12x = 141,163,376.41
  5. Step 5: Solve for x
    x = 141,163,376.41/13,735.12
  6. Step 6: Final answer
    x = 10,277.55

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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.