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Finding the Fourth Proportional to 27,862.14, 41,793.48 and 7,085.64

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Solution

The fourth proportional to 27,862.14, 41,793.48 and 7,085.64 is: 10,628.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,862.14 : 41,793.48 = 7,085.64 : x
  2. Step 2: Convert to fraction form
    27,862.14/41,793.48 = 7,085.64/x
  3. Step 3: Cross multiply
    27,862.14x = 41,793.48 × 7,085.64
  4. Step 4: Simplify right side
    27,862.14x = 296,133,553.63
  5. Step 5: Solve for x
    x = 296,133,553.63/27,862.14
  6. Step 6: Final answer
    x = 10,628.53

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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.