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Finding the Fourth Proportional to 27,914.16, 41,877.84 and 9,194.48

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Solution

The fourth proportional to 27,914.16, 41,877.84 and 9,194.48 is: 13,793.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,914.16 : 41,877.84 = 9,194.48 : x
  2. Step 2: Convert to fraction form
    27,914.16/41,877.84 = 9,194.48/x
  3. Step 3: Cross multiply
    27,914.16x = 41,877.84 × 9,194.48
  4. Step 4: Simplify right side
    27,914.16x = 385,044,962.32
  5. Step 5: Solve for x
    x = 385,044,962.32/27,914.16
  6. Step 6: Final answer
    x = 13,793.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.