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Finding the Fourth Proportional to 6,965.84, 9,613.02 and 3,822.04

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Solution

The fourth proportional to 6,965.84, 9,613.02 and 3,822.04 is: 5,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.84 : 9,613.02 = 3,822.04 : x
  2. Step 2: Convert to fraction form
    6,965.84/9,613.02 = 3,822.04/x
  3. Step 3: Cross multiply
    6,965.84x = 9,613.02 × 3,822.04
  4. Step 4: Simplify right side
    6,965.84x = 36,741,346.96
  5. Step 5: Solve for x
    x = 36,741,346.96/6,965.84
  6. Step 6: Final answer
    x = 5,274.50

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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.