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Finding the Fourth Proportional to 30,832.67, 46,248.97 and 8,649.33

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Solution

The fourth proportional to 30,832.67, 46,248.97 and 8,649.33 is: 12,973.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,832.67 : 46,248.97 = 8,649.33 : x
  2. Step 2: Convert to fraction form
    30,832.67/46,248.97 = 8,649.33/x
  3. Step 3: Cross multiply
    30,832.67x = 46,248.97 × 8,649.33
  4. Step 4: Simplify right side
    30,832.67x = 400,022,603.69
  5. Step 5: Solve for x
    x = 400,022,603.69/30,832.67
  6. Step 6: Final answer
    x = 12,973.99

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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.