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Finding the Fourth Proportional to 13,836.97, 19,094.97 and 7,549.39

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Solution

The fourth proportional to 13,836.97, 19,094.97 and 7,549.39 is: 10,418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,836.97 : 19,094.97 = 7,549.39 : x
  2. Step 2: Convert to fraction form
    13,836.97/19,094.97 = 7,549.39/x
  3. Step 3: Cross multiply
    13,836.97x = 19,094.97 × 7,549.39
  4. Step 4: Simplify right side
    13,836.97x = 144,155,375.57
  5. Step 5: Solve for x
    x = 144,155,375.57/13,836.97
  6. Step 6: Final answer
    x = 10,418.13

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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.