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Finding the Fourth Proportional to 27,894.16, 41,841.52 and 7,117.68

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Solution

The fourth proportional to 27,894.16, 41,841.52 and 7,117.68 is: 10,676.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,894.16 : 41,841.52 = 7,117.68 : x
  2. Step 2: Convert to fraction form
    27,894.16/41,841.52 = 7,117.68/x
  3. Step 3: Cross multiply
    27,894.16x = 41,841.52 × 7,117.68
  4. Step 4: Simplify right side
    27,894.16x = 297,814,550.07
  5. Step 5: Solve for x
    x = 297,814,550.07/27,894.16
  6. Step 6: Final answer
    x = 10,676.59

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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.