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Finding the Fourth Proportional to 11,625.69, 16,043.34 and 7,649.01

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Solution

The fourth proportional to 11,625.69, 16,043.34 and 7,649.01 is: 10,555.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,625.69 : 16,043.34 = 7,649.01 : x
  2. Step 2: Convert to fraction form
    11,625.69/16,043.34 = 7,649.01/x
  3. Step 3: Cross multiply
    11,625.69x = 16,043.34 × 7,649.01
  4. Step 4: Simplify right side
    11,625.69x = 122,715,668.09
  5. Step 5: Solve for x
    x = 122,715,668.09/11,625.69
  6. Step 6: Final answer
    x = 10,555.56

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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.