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Finding the Fourth Proportional to 27,414.24, 41,128.80 and 8,946.24

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Solution

The fourth proportional to 27,414.24, 41,128.80 and 8,946.24 is: 13,421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,414.24 : 41,128.80 = 8,946.24 : x
  2. Step 2: Convert to fraction form
    27,414.24/41,128.80 = 8,946.24/x
  3. Step 3: Cross multiply
    27,414.24x = 41,128.80 × 8,946.24
  4. Step 4: Simplify right side
    27,414.24x = 367,948,115.71
  5. Step 5: Solve for x
    x = 367,948,115.71/27,414.24
  6. Step 6: Final answer
    x = 13,421.79

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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.