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Finding the Fourth Proportional to 6,634.02, 9,155 and 3,649.78

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Solution

The fourth proportional to 6,634.02, 9,155 and 3,649.78 is: 5,036.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.02 : 9,155 = 3,649.78 : x
  2. Step 2: Convert to fraction form
    6,634.02/9,155 = 3,649.78/x
  3. Step 3: Cross multiply
    6,634.02x = 9,155 × 3,649.78
  4. Step 4: Simplify right side
    6,634.02x = 33,413,735.90
  5. Step 5: Solve for x
    x = 33,413,735.90/6,634.02
  6. Step 6: Final answer
    x = 5,036.73

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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.