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Finding the Fourth Proportional to 4,199.64, 6,292.17 and 3,747.66

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Solution

The fourth proportional to 4,199.64, 6,292.17 and 3,747.66 is: 5,614.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.64 : 6,292.17 = 3,747.66 : x
  2. Step 2: Convert to fraction form
    4,199.64/6,292.17 = 3,747.66/x
  3. Step 3: Cross multiply
    4,199.64x = 6,292.17 × 3,747.66
  4. Step 4: Simplify right side
    4,199.64x = 23,580,913.82
  5. Step 5: Solve for x
    x = 23,580,913.82/4,199.64
  6. Step 6: Final answer
    x = 5,614.98

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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.