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Finding the Fourth Proportional to 17,649.26, 26,468.01 and 7,116.56

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Solution

The fourth proportional to 17,649.26, 26,468.01 and 7,116.56 is: 10,672.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.26 : 26,468.01 = 7,116.56 : x
  2. Step 2: Convert to fraction form
    17,649.26/26,468.01 = 7,116.56/x
  3. Step 3: Cross multiply
    17,649.26x = 26,468.01 × 7,116.56
  4. Step 4: Simplify right side
    17,649.26x = 188,361,048.91
  5. Step 5: Solve for x
    x = 188,361,048.91/17,649.26
  6. Step 6: Final answer
    x = 10,672.46

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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.