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Finding the Fourth Proportional to 6,965.63, 9,612.54 and 3,778.99

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Solution

The fourth proportional to 6,965.63, 9,612.54 and 3,778.99 is: 5,214.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.63 : 9,612.54 = 3,778.99 : x
  2. Step 2: Convert to fraction form
    6,965.63/9,612.54 = 3,778.99/x
  3. Step 3: Cross multiply
    6,965.63x = 9,612.54 × 3,778.99
  4. Step 4: Simplify right side
    6,965.63x = 36,325,692.53
  5. Step 5: Solve for x
    x = 36,325,692.53/6,965.63
  6. Step 6: Final answer
    x = 5,214.99

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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.