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Finding the Fourth Proportional to 27,600.60, 41,400.90 and 6,824.10

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Solution

The fourth proportional to 27,600.60, 41,400.90 and 6,824.10 is: 10,236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,600.60 : 41,400.90 = 6,824.10 : x
  2. Step 2: Convert to fraction form
    27,600.60/41,400.90 = 6,824.10/x
  3. Step 3: Cross multiply
    27,600.60x = 41,400.90 × 6,824.10
  4. Step 4: Simplify right side
    27,600.60x = 282,523,881.69
  5. Step 5: Solve for x
    x = 282,523,881.69/27,600.60
  6. Step 6: Final answer
    x = 10,236.15

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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.