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Finding the Fourth Proportional to 13,696.88, 18,901.56 and 7,409.12

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Solution

The fourth proportional to 13,696.88, 18,901.56 and 7,409.12 is: 10,224.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.88 : 18,901.56 = 7,409.12 : x
  2. Step 2: Convert to fraction form
    13,696.88/18,901.56 = 7,409.12/x
  3. Step 3: Cross multiply
    13,696.88x = 18,901.56 × 7,409.12
  4. Step 4: Simplify right side
    13,696.88x = 140,043,926.23
  5. Step 5: Solve for x
    x = 140,043,926.23/13,696.88
  6. Step 6: Final answer
    x = 10,224.51

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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.