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Finding the Fourth Proportional to 27,886.78, 41,832.86 and 9,166.87

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Solution

The fourth proportional to 27,886.78, 41,832.86 and 9,166.87 is: 13,751.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,886.78 : 41,832.86 = 9,166.87 : x
  2. Step 2: Convert to fraction form
    27,886.78/41,832.86 = 9,166.87/x
  3. Step 3: Cross multiply
    27,886.78x = 41,832.86 × 9,166.87
  4. Step 4: Simplify right side
    27,886.78x = 383,476,395.80
  5. Step 5: Solve for x
    x = 383,476,395.80/27,886.78
  6. Step 6: Final answer
    x = 13,751.19

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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.