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Finding the Fourth Proportional to 13,564.94, 18,725.94 and 10,208.97

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Solution

The fourth proportional to 13,564.94, 18,725.94 and 10,208.97 is: 14,093.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.94 : 18,725.94 = 10,208.97 : x
  2. Step 2: Convert to fraction form
    13,564.94/18,725.94 = 10,208.97/x
  3. Step 3: Cross multiply
    13,564.94x = 18,725.94 × 10,208.97
  4. Step 4: Simplify right side
    13,564.94x = 191,172,559.68
  5. Step 5: Solve for x
    x = 191,172,559.68/13,564.94
  6. Step 6: Final answer
    x = 14,093.14

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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.