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Finding the Fourth Proportional to 30,738.56, 46,105.74 and 8,552.12

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Solution

The fourth proportional to 30,738.56, 46,105.74 and 8,552.12 is: 12,827.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,738.56 : 46,105.74 = 8,552.12 : x
  2. Step 2: Convert to fraction form
    30,738.56/46,105.74 = 8,552.12/x
  3. Step 3: Cross multiply
    30,738.56x = 46,105.74 × 8,552.12
  4. Step 4: Simplify right side
    30,738.56x = 394,301,590.64
  5. Step 5: Solve for x
    x = 394,301,590.64/30,738.56
  6. Step 6: Final answer
    x = 12,827.59

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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.