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Finding the Fourth Proportional to 27,903.87, 41,856.14 and 8,182.83

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Solution

The fourth proportional to 27,903.87, 41,856.14 and 8,182.83 is: 12,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,903.87 : 41,856.14 = 8,182.83 : x
  2. Step 2: Convert to fraction form
    27,903.87/41,856.14 = 8,182.83/x
  3. Step 3: Cross multiply
    27,903.87x = 41,856.14 × 8,182.83
  4. Step 4: Simplify right side
    27,903.87x = 342,501,541.57
  5. Step 5: Solve for x
    x = 342,501,541.57/27,903.87
  6. Step 6: Final answer
    x = 12,274.34

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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.