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Finding the Fourth Proportional to 6,523.92, 9,785.85 and 2,824.23

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Solution

The fourth proportional to 6,523.92, 9,785.85 and 2,824.23 is: 4,236.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.92 : 9,785.85 = 2,824.23 : x
  2. Step 2: Convert to fraction form
    6,523.92/9,785.85 = 2,824.23/x
  3. Step 3: Cross multiply
    6,523.92x = 9,785.85 × 2,824.23
  4. Step 4: Simplify right side
    6,523.92x = 27,637,491.15
  5. Step 5: Solve for x
    x = 27,637,491.15/6,523.92
  6. Step 6: Final answer
    x = 4,236.33

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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.