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Finding the Fourth Proportional to 27,886.69, 41,836.62 and 9,166.78

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Solution

The fourth proportional to 27,886.69, 41,836.62 and 9,166.78 is: 13,752.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,886.69 : 41,836.62 = 9,166.78 : x
  2. Step 2: Convert to fraction form
    27,886.69/41,836.62 = 9,166.78/x
  3. Step 3: Cross multiply
    27,886.69x = 41,836.62 × 9,166.78
  4. Step 4: Simplify right side
    27,886.69x = 383,507,178.15
  5. Step 5: Solve for x
    x = 383,507,178.15/27,886.69
  6. Step 6: Final answer
    x = 13,752.34

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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.