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Finding the Fourth Proportional to 3,885.14, 5,827.82 and 963.41

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Solution

The fourth proportional to 3,885.14, 5,827.82 and 963.41 is: 1,445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.14 : 5,827.82 = 963.41 : x
  2. Step 2: Convert to fraction form
    3,885.14/5,827.82 = 963.41/x
  3. Step 3: Cross multiply
    3,885.14x = 5,827.82 × 963.41
  4. Step 4: Simplify right side
    3,885.14x = 5,614,546.11
  5. Step 5: Solve for x
    x = 5,614,546.11/3,885.14
  6. Step 6: Final answer
    x = 1,445.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.