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Finding the Fourth Proportional to 6,949.64, 9,590.19 and 3,805.76

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Solution

The fourth proportional to 6,949.64, 9,590.19 and 3,805.76 is: 5,251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.64 : 9,590.19 = 3,805.76 : x
  2. Step 2: Convert to fraction form
    6,949.64/9,590.19 = 3,805.76/x
  3. Step 3: Cross multiply
    6,949.64x = 9,590.19 × 3,805.76
  4. Step 4: Simplify right side
    6,949.64x = 36,497,961.49
  5. Step 5: Solve for x
    x = 36,497,961.49/6,949.64
  6. Step 6: Final answer
    x = 5,251.78

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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.