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Finding the Fourth Proportional to 6,164.33, 9,233.28 and 2,649.74

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Solution

The fourth proportional to 6,164.33, 9,233.28 and 2,649.74 is: 3,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.33 : 9,233.28 = 2,649.74 : x
  2. Step 2: Convert to fraction form
    6,164.33/9,233.28 = 2,649.74/x
  3. Step 3: Cross multiply
    6,164.33x = 9,233.28 × 2,649.74
  4. Step 4: Simplify right side
    6,164.33x = 24,465,745.18
  5. Step 5: Solve for x
    x = 24,465,745.18/6,164.33
  6. Step 6: Final answer
    x = 3,968.93

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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.