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Finding the Fourth Proportional to 27,161.34, 40,742.86 and 8,441.47

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Solution

The fourth proportional to 27,161.34, 40,742.86 and 8,441.47 is: 12,662.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,161.34 : 40,742.86 = 8,441.47 : x
  2. Step 2: Convert to fraction form
    27,161.34/40,742.86 = 8,441.47/x
  3. Step 3: Cross multiply
    27,161.34x = 40,742.86 × 8,441.47
  4. Step 4: Simplify right side
    27,161.34x = 343,929,630.40
  5. Step 5: Solve for x
    x = 343,929,630.40/27,161.34
  6. Step 6: Final answer
    x = 12,662.47

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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.