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Finding the Fourth Proportional to 30,923.78, 46,388.97 and 9,858.85

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Solution

The fourth proportional to 30,923.78, 46,388.97 and 9,858.85 is: 14,789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,923.78 : 46,388.97 = 9,858.85 : x
  2. Step 2: Convert to fraction form
    30,923.78/46,388.97 = 9,858.85/x
  3. Step 3: Cross multiply
    30,923.78x = 46,388.97 × 9,858.85
  4. Step 4: Simplify right side
    30,923.78x = 457,341,780.91
  5. Step 5: Solve for x
    x = 457,341,780.91/30,923.78
  6. Step 6: Final answer
    x = 14,789.33

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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.