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Finding the Fourth Proportional to 13,597.67, 20,392.17 and 9,243.11

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Solution

The fourth proportional to 13,597.67, 20,392.17 and 9,243.11 is: 13,861.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.67 : 20,392.17 = 9,243.11 : x
  2. Step 2: Convert to fraction form
    13,597.67/20,392.17 = 9,243.11/x
  3. Step 3: Cross multiply
    13,597.67x = 20,392.17 × 9,243.11
  4. Step 4: Simplify right side
    13,597.67x = 188,487,070.45
  5. Step 5: Solve for x
    x = 188,487,070.45/13,597.67
  6. Step 6: Final answer
    x = 13,861.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.