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Finding the Fourth Proportional to 27,634.42, 41,459.71 and 8,914.08

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Solution

The fourth proportional to 27,634.42, 41,459.71 and 8,914.08 is: 13,373.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,634.42 : 41,459.71 = 8,914.08 : x
  2. Step 2: Convert to fraction form
    27,634.42/41,459.71 = 8,914.08/x
  3. Step 3: Cross multiply
    27,634.42x = 41,459.71 × 8,914.08
  4. Step 4: Simplify right side
    27,634.42x = 369,575,171.72
  5. Step 5: Solve for x
    x = 369,575,171.72/27,634.42
  6. Step 6: Final answer
    x = 13,373.73

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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.