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Finding the Fourth Proportional to 6,242.24, 8,613.90 and 3,409.03

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Solution

The fourth proportional to 6,242.24, 8,613.90 and 3,409.03 is: 4,704.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.24 : 8,613.90 = 3,409.03 : x
  2. Step 2: Convert to fraction form
    6,242.24/8,613.90 = 3,409.03/x
  3. Step 3: Cross multiply
    6,242.24x = 8,613.90 × 3,409.03
  4. Step 4: Simplify right side
    6,242.24x = 29,365,021.98
  5. Step 5: Solve for x
    x = 29,365,021.98/6,242.24
  6. Step 6: Final answer
    x = 4,704.25

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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.