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Finding the Fourth Proportional to 11,649.66, 17,464.01 and 4,248.96

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Solution

The fourth proportional to 11,649.66, 17,464.01 and 4,248.96 is: 6,369.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.66 : 17,464.01 = 4,248.96 : x
  2. Step 2: Convert to fraction form
    11,649.66/17,464.01 = 4,248.96/x
  3. Step 3: Cross multiply
    11,649.66x = 17,464.01 × 4,248.96
  4. Step 4: Simplify right side
    11,649.66x = 74,203,858.68
  5. Step 5: Solve for x
    x = 74,203,858.68/11,649.66
  6. Step 6: Final answer
    x = 6,369.62

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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.