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Finding the Fourth Proportional to 4,254.62, 6,380.31 and 1,944.50

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Solution

The fourth proportional to 4,254.62, 6,380.31 and 1,944.50 is: 2,916.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254.62 : 6,380.31 = 1,944.50 : x
  2. Step 2: Convert to fraction form
    4,254.62/6,380.31 = 1,944.50/x
  3. Step 3: Cross multiply
    4,254.62x = 6,380.31 × 1,944.50
  4. Step 4: Simplify right side
    4,254.62x = 12,406,512.80
  5. Step 5: Solve for x
    x = 12,406,512.80/4,254.62
  6. Step 6: Final answer
    x = 2,916.01

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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.