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Finding the Fourth Proportional to 6,909.78, 9,535.52 and 3,765.96

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Solution

The fourth proportional to 6,909.78, 9,535.52 and 3,765.96 is: 5,197.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.78 : 9,535.52 = 3,765.96 : x
  2. Step 2: Convert to fraction form
    6,909.78/9,535.52 = 3,765.96/x
  3. Step 3: Cross multiply
    6,909.78x = 9,535.52 × 3,765.96
  4. Step 4: Simplify right side
    6,909.78x = 35,910,417.95
  5. Step 5: Solve for x
    x = 35,910,417.95/6,909.78
  6. Step 6: Final answer
    x = 5,197.04

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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.