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Finding the Fourth Proportional to 15,755, 21,741.20 and 8,584.94

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Solution

The fourth proportional to 15,755, 21,741.20 and 8,584.94 is: 11,846.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,755 : 21,741.20 = 8,584.94 : x
  2. Step 2: Convert to fraction form
    15,755/21,741.20 = 8,584.94/x
  3. Step 3: Cross multiply
    15,755x = 21,741.20 × 8,584.94
  4. Step 4: Simplify right side
    15,755x = 186,646,897.53
  5. Step 5: Solve for x
    x = 186,646,897.53/15,755
  6. Step 6: Final answer
    x = 11,846.84

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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.