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Finding the Fourth Proportional to 13,497.60, 18,627.04 and 8,191.68

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Solution

The fourth proportional to 13,497.60, 18,627.04 and 8,191.68 is: 11,304.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.60 : 18,627.04 = 8,191.68 : x
  2. Step 2: Convert to fraction form
    13,497.60/18,627.04 = 8,191.68/x
  3. Step 3: Cross multiply
    13,497.60x = 18,627.04 × 8,191.68
  4. Step 4: Simplify right side
    13,497.60x = 152,586,751.03
  5. Step 5: Solve for x
    x = 152,586,751.03/13,497.60
  6. Step 6: Final answer
    x = 11,304.73

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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.