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Finding the Fourth Proportional to 6,274.29, 8,658.80 and 3,755.92

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Solution

The fourth proportional to 6,274.29, 8,658.80 and 3,755.92 is: 5,183.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.29 : 8,658.80 = 3,755.92 : x
  2. Step 2: Convert to fraction form
    6,274.29/8,658.80 = 3,755.92/x
  3. Step 3: Cross multiply
    6,274.29x = 8,658.80 × 3,755.92
  4. Step 4: Simplify right side
    6,274.29x = 32,521,718.59
  5. Step 5: Solve for x
    x = 32,521,718.59/6,274.29
  6. Step 6: Final answer
    x = 5,183.33

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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.