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Finding the Fourth Proportional to 27,894.22, 41,835.18 and 8,174.32

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Solution

The fourth proportional to 27,894.22, 41,835.18 and 8,174.32 is: 12,259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,894.22 : 41,835.18 = 8,174.32 : x
  2. Step 2: Convert to fraction form
    27,894.22/41,835.18 = 8,174.32/x
  3. Step 3: Cross multiply
    27,894.22x = 41,835.18 × 8,174.32
  4. Step 4: Simplify right side
    27,894.22x = 341,974,148.58
  5. Step 5: Solve for x
    x = 341,974,148.58/27,894.22
  6. Step 6: Final answer
    x = 12,259.68

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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.