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Finding the Fourth Proportional to 6,169.75, 9,265.76 and 5,675.26

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Solution

The fourth proportional to 6,169.75, 9,265.76 and 5,675.26 is: 8,523.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.75 : 9,265.76 = 5,675.26 : x
  2. Step 2: Convert to fraction form
    6,169.75/9,265.76 = 5,675.26/x
  3. Step 3: Cross multiply
    6,169.75x = 9,265.76 × 5,675.26
  4. Step 4: Simplify right side
    6,169.75x = 52,585,597.10
  5. Step 5: Solve for x
    x = 52,585,597.10/6,169.75
  6. Step 6: Final answer
    x = 8,523.13

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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.