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Finding the Fourth Proportional to 27,601.10, 41,401.65 and 6,824.60

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Solution

The fourth proportional to 27,601.10, 41,401.65 and 6,824.60 is: 10,236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,601.10 : 41,401.65 = 6,824.60 : x
  2. Step 2: Convert to fraction form
    27,601.10/41,401.65 = 6,824.60/x
  3. Step 3: Cross multiply
    27,601.10x = 41,401.65 × 6,824.60
  4. Step 4: Simplify right side
    27,601.10x = 282,549,700.59
  5. Step 5: Solve for x
    x = 282,549,700.59/27,601.10
  6. Step 6: Final answer
    x = 10,236.90

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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.