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Finding the Fourth Proportional to 4,096.88, 6,173.22 and 3,649.32

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Solution

The fourth proportional to 4,096.88, 6,173.22 and 3,649.32 is: 5,498.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.88 : 6,173.22 = 3,649.32 : x
  2. Step 2: Convert to fraction form
    4,096.88/6,173.22 = 3,649.32/x
  3. Step 3: Cross multiply
    4,096.88x = 6,173.22 × 3,649.32
  4. Step 4: Simplify right side
    4,096.88x = 22,528,055.21
  5. Step 5: Solve for x
    x = 22,528,055.21/4,096.88
  6. Step 6: Final answer
    x = 5,498.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.