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Finding the Fourth Proportional to 30,673.82, 46,012.92 and 8,184.38

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Solution

The fourth proportional to 30,673.82, 46,012.92 and 8,184.38 is: 12,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,673.82 : 46,012.92 = 8,184.38 : x
  2. Step 2: Convert to fraction form
    30,673.82/46,012.92 = 8,184.38/x
  3. Step 3: Cross multiply
    30,673.82x = 46,012.92 × 8,184.38
  4. Step 4: Simplify right side
    30,673.82x = 376,586,992.13
  5. Step 5: Solve for x
    x = 376,586,992.13/30,673.82
  6. Step 6: Final answer
    x = 12,277.15

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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.