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Finding the Fourth Proportional to 6,197.76, 8,553.04 and 3,403.24

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Solution

The fourth proportional to 6,197.76, 8,553.04 and 3,403.24 is: 4,696.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.76 : 8,553.04 = 3,403.24 : x
  2. Step 2: Convert to fraction form
    6,197.76/8,553.04 = 3,403.24/x
  3. Step 3: Cross multiply
    6,197.76x = 8,553.04 × 3,403.24
  4. Step 4: Simplify right side
    6,197.76x = 29,108,047.85
  5. Step 5: Solve for x
    x = 29,108,047.85/6,197.76
  6. Step 6: Final answer
    x = 4,696.54

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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.