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Finding the Fourth Proportional to 4,662.81, 6,443.88 and 3,822.16

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Solution

The fourth proportional to 4,662.81, 6,443.88 and 3,822.16 is: 5,282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.81 : 6,443.88 = 3,822.16 : x
  2. Step 2: Convert to fraction form
    4,662.81/6,443.88 = 3,822.16/x
  3. Step 3: Cross multiply
    4,662.81x = 6,443.88 × 3,822.16
  4. Step 4: Simplify right side
    4,662.81x = 24,629,540.38
  5. Step 5: Solve for x
    x = 24,629,540.38/4,662.81
  6. Step 6: Final answer
    x = 5,282.12

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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.