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Finding the Fourth Proportional to 4,936.26, 7,404.08 and 1,649.07

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Solution

The fourth proportional to 4,936.26, 7,404.08 and 1,649.07 is: 2,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.26 : 7,404.08 = 1,649.07 : x
  2. Step 2: Convert to fraction form
    4,936.26/7,404.08 = 1,649.07/x
  3. Step 3: Cross multiply
    4,936.26x = 7,404.08 × 1,649.07
  4. Step 4: Simplify right side
    4,936.26x = 12,209,846.21
  5. Step 5: Solve for x
    x = 12,209,846.21/4,936.26
  6. Step 6: Final answer
    x = 2,473.50

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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.