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Finding the Fourth Proportional to 6,909.75, 9,535.51 and 3,766.14

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Solution

The fourth proportional to 6,909.75, 9,535.51 and 3,766.14 is: 5,197.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.75 : 9,535.51 = 3,766.14 : x
  2. Step 2: Convert to fraction form
    6,909.75/9,535.51 = 3,766.14/x
  3. Step 3: Cross multiply
    6,909.75x = 9,535.51 × 3,766.14
  4. Step 4: Simplify right side
    6,909.75x = 35,912,065.63
  5. Step 5: Solve for x
    x = 35,912,065.63/6,909.75
  6. Step 6: Final answer
    x = 5,197.30

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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.