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Finding the Fourth Proportional to 16,645.82, 24,965.64 and 6,649.71

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Solution

The fourth proportional to 16,645.82, 24,965.64 and 6,649.71 is: 9,973.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,645.82 : 24,965.64 = 6,649.71 : x
  2. Step 2: Convert to fraction form
    16,645.82/24,965.64 = 6,649.71/x
  3. Step 3: Cross multiply
    16,645.82x = 24,965.64 × 6,649.71
  4. Step 4: Simplify right side
    16,645.82x = 166,014,265.96
  5. Step 5: Solve for x
    x = 166,014,265.96/16,645.82
  6. Step 6: Final answer
    x = 9,973.33

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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.