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Finding the Fourth Proportional to 9,755, 14,632.62 and 7,819.52

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Solution

The fourth proportional to 9,755, 14,632.62 and 7,819.52 is: 11,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755 : 14,632.62 = 7,819.52 : x
  2. Step 2: Convert to fraction form
    9,755/14,632.62 = 7,819.52/x
  3. Step 3: Cross multiply
    9,755x = 14,632.62 × 7,819.52
  4. Step 4: Simplify right side
    9,755x = 114,420,064.74
  5. Step 5: Solve for x
    x = 114,420,064.74/9,755
  6. Step 6: Final answer
    x = 11,729.38

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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.