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Finding the Fourth Proportional to 6,349.53, 8,763.20 and 3,833.07

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Solution

The fourth proportional to 6,349.53, 8,763.20 and 3,833.07 is: 5,290.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.53 : 8,763.20 = 3,833.07 : x
  2. Step 2: Convert to fraction form
    6,349.53/8,763.20 = 3,833.07/x
  3. Step 3: Cross multiply
    6,349.53x = 8,763.20 × 3,833.07
  4. Step 4: Simplify right side
    6,349.53x = 33,589,939.86
  5. Step 5: Solve for x
    x = 33,589,939.86/6,349.53
  6. Step 6: Final answer
    x = 5,290.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.