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Finding the Fourth Proportional to 27,612.25, 41,419.74 and 7,893.71

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Solution

The fourth proportional to 27,612.25, 41,419.74 and 7,893.71 is: 11,840.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,612.25 : 41,419.74 = 7,893.71 : x
  2. Step 2: Convert to fraction form
    27,612.25/41,419.74 = 7,893.71/x
  3. Step 3: Cross multiply
    27,612.25x = 41,419.74 × 7,893.71
  4. Step 4: Simplify right side
    27,612.25x = 326,955,349.26
  5. Step 5: Solve for x
    x = 326,955,349.26/27,612.25
  6. Step 6: Final answer
    x = 11,840.95

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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.