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Finding the Fourth Proportional to 27,614, 38,104.92 and 15,677.84

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Solution

The fourth proportional to 27,614, 38,104.92 and 15,677.84 is: 21,634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,614 : 38,104.92 = 15,677.84 : x
  2. Step 2: Convert to fraction form
    27,614/38,104.92 = 15,677.84/x
  3. Step 3: Cross multiply
    27,614x = 38,104.92 × 15,677.84
  4. Step 4: Simplify right side
    27,614x = 597,402,838.97
  5. Step 5: Solve for x
    x = 597,402,838.97/27,614
  6. Step 6: Final answer
    x = 21,634.06

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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.