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Finding the Fourth Proportional to 30,530.46, 45,795.69 and 9,755.58

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Solution

The fourth proportional to 30,530.46, 45,795.69 and 9,755.58 is: 14,633.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,530.46 : 45,795.69 = 9,755.58 : x
  2. Step 2: Convert to fraction form
    30,530.46/45,795.69 = 9,755.58/x
  3. Step 3: Cross multiply
    30,530.46x = 45,795.69 × 9,755.58
  4. Step 4: Simplify right side
    30,530.46x = 446,763,517.45
  5. Step 5: Solve for x
    x = 446,763,517.45/30,530.46
  6. Step 6: Final answer
    x = 14,633.37

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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.