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Finding the Fourth Proportional to 27,233.25, 40,849.88 and 8,765.25

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Solution

The fourth proportional to 27,233.25, 40,849.88 and 8,765.25 is: 13,147.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,233.25 : 40,849.88 = 8,765.25 : x
  2. Step 2: Convert to fraction form
    27,233.25/40,849.88 = 8,765.25/x
  3. Step 3: Cross multiply
    27,233.25x = 40,849.88 × 8,765.25
  4. Step 4: Simplify right side
    27,233.25x = 358,059,366.84
  5. Step 5: Solve for x
    x = 358,059,366.84/27,233.25
  6. Step 6: Final answer
    x = 13,147.88

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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.