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Finding the Fourth Proportional to 27,877.97, 41,823.54 and 9,158.06

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Solution

The fourth proportional to 27,877.97, 41,823.54 and 9,158.06 is: 13,739.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,877.97 : 41,823.54 = 9,158.06 : x
  2. Step 2: Convert to fraction form
    27,877.97/41,823.54 = 9,158.06/x
  3. Step 3: Cross multiply
    27,877.97x = 41,823.54 × 9,158.06
  4. Step 4: Simplify right side
    27,877.97x = 383,022,593.29
  5. Step 5: Solve for x
    x = 383,022,593.29/27,877.97
  6. Step 6: Final answer
    x = 13,739.26

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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.