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Finding the Fourth Proportional to 6,423.64, 8,863.14 and 3,770.92

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Solution

The fourth proportional to 6,423.64, 8,863.14 and 3,770.92 is: 5,203.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.64 : 8,863.14 = 3,770.92 : x
  2. Step 2: Convert to fraction form
    6,423.64/8,863.14 = 3,770.92/x
  3. Step 3: Cross multiply
    6,423.64x = 8,863.14 × 3,770.92
  4. Step 4: Simplify right side
    6,423.64x = 33,422,191.89
  5. Step 5: Solve for x
    x = 33,422,191.89/6,423.64
  6. Step 6: Final answer
    x = 5,203.00

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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.