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Finding the Fourth Proportional to 6,542.43, 9,814.18 and 2,844.78

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Solution

The fourth proportional to 6,542.43, 9,814.18 and 2,844.78 is: 4,267.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.43 : 9,814.18 = 2,844.78 : x
  2. Step 2: Convert to fraction form
    6,542.43/9,814.18 = 2,844.78/x
  3. Step 3: Cross multiply
    6,542.43x = 9,814.18 × 2,844.78
  4. Step 4: Simplify right side
    6,542.43x = 27,919,182.98
  5. Step 5: Solve for x
    x = 27,919,182.98/6,542.43
  6. Step 6: Final answer
    x = 4,267.40

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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.