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Finding the Fourth Proportional to 11,649.69, 17,455.38 and 6,723.47

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Solution

The fourth proportional to 11,649.69, 17,455.38 and 6,723.47 is: 10,074.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.69 : 17,455.38 = 6,723.47 : x
  2. Step 2: Convert to fraction form
    11,649.69/17,455.38 = 6,723.47/x
  3. Step 3: Cross multiply
    11,649.69x = 17,455.38 × 6,723.47
  4. Step 4: Simplify right side
    11,649.69x = 117,360,636.49
  5. Step 5: Solve for x
    x = 117,360,636.49/11,649.69
  6. Step 6: Final answer
    x = 10,074.14

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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.