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Finding the Fourth Proportional to 13,100.99, 18,097.74 and 11,684.22

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Solution

The fourth proportional to 13,100.99, 18,097.74 and 11,684.22 is: 16,140.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,100.99 : 18,097.74 = 11,684.22 : x
  2. Step 2: Convert to fraction form
    13,100.99/18,097.74 = 11,684.22/x
  3. Step 3: Cross multiply
    13,100.99x = 18,097.74 × 11,684.22
  4. Step 4: Simplify right side
    13,100.99x = 211,457,975.66
  5. Step 5: Solve for x
    x = 211,457,975.66/13,100.99
  6. Step 6: Final answer
    x = 16,140.62

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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.