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Finding the Fourth Proportional to 6,965.69, 9,612.57 and 3,778.91

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Solution

The fourth proportional to 6,965.69, 9,612.57 and 3,778.91 is: 5,214.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.69 : 9,612.57 = 3,778.91 : x
  2. Step 2: Convert to fraction form
    6,965.69/9,612.57 = 3,778.91/x
  3. Step 3: Cross multiply
    6,965.69x = 9,612.57 × 3,778.91
  4. Step 4: Simplify right side
    6,965.69x = 36,325,036.90
  5. Step 5: Solve for x
    x = 36,325,036.90/6,965.69
  6. Step 6: Final answer
    x = 5,214.85

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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.