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Finding the Fourth Proportional to 27,951.58, 41,918.46 and 9,228.12

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Solution

The fourth proportional to 27,951.58, 41,918.46 and 9,228.12 is: 13,839.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,951.58 : 41,918.46 = 9,228.12 : x
  2. Step 2: Convert to fraction form
    27,951.58/41,918.46 = 9,228.12/x
  3. Step 3: Cross multiply
    27,951.58x = 41,918.46 × 9,228.12
  4. Step 4: Simplify right side
    27,951.58x = 386,828,579.10
  5. Step 5: Solve for x
    x = 386,828,579.10/27,951.58
  6. Step 6: Final answer
    x = 13,839.24

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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.