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Finding the Fourth Proportional to 30,608.56, 45,914.92 and 9,830.80

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Solution

The fourth proportional to 30,608.56, 45,914.92 and 9,830.80 is: 14,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,608.56 : 45,914.92 = 9,830.80 : x
  2. Step 2: Convert to fraction form
    30,608.56/45,914.92 = 9,830.80/x
  3. Step 3: Cross multiply
    30,608.56x = 45,914.92 × 9,830.80
  4. Step 4: Simplify right side
    30,608.56x = 451,380,395.54
  5. Step 5: Solve for x
    x = 451,380,395.54/30,608.56
  6. Step 6: Final answer
    x = 14,746.87

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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.