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Finding the Fourth Proportional to 27,649, 38,156.58 and 15,712.84

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Solution

The fourth proportional to 27,649, 38,156.58 and 15,712.84 is: 21,684.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649 : 38,156.58 = 15,712.84 : x
  2. Step 2: Convert to fraction form
    27,649/38,156.58 = 15,712.84/x
  3. Step 3: Cross multiply
    27,649x = 38,156.58 × 15,712.84
  4. Step 4: Simplify right side
    27,649x = 599,548,236.49
  5. Step 5: Solve for x
    x = 599,548,236.49/27,649
  6. Step 6: Final answer
    x = 21,684.26

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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.