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Finding the Fourth Proportional to 13,699.14, 18,906.69 and 7,733.22

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Solution

The fourth proportional to 13,699.14, 18,906.69 and 7,733.22 is: 10,672.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699.14 : 18,906.69 = 7,733.22 : x
  2. Step 2: Convert to fraction form
    13,699.14/18,906.69 = 7,733.22/x
  3. Step 3: Cross multiply
    13,699.14x = 18,906.69 × 7,733.22
  4. Step 4: Simplify right side
    13,699.14x = 146,209,593.24
  5. Step 5: Solve for x
    x = 146,209,593.24/13,699.14
  6. Step 6: Final answer
    x = 10,672.90

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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.