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Finding the Fourth Proportional to 27,937.58, 41,907.68 and 9,219.25

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Solution

The fourth proportional to 27,937.58, 41,907.68 and 9,219.25 is: 13,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,937.58 : 41,907.68 = 9,219.25 : x
  2. Step 2: Convert to fraction form
    27,937.58/41,907.68 = 9,219.25/x
  3. Step 3: Cross multiply
    27,937.58x = 41,907.68 × 9,219.25
  4. Step 4: Simplify right side
    27,937.58x = 386,357,227.97
  5. Step 5: Solve for x
    x = 386,357,227.97/27,937.58
  6. Step 6: Final answer
    x = 13,829.30

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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.