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Finding the Fourth Proportional to 30,900.96, 46,346.48 and 9,838.24

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Solution

The fourth proportional to 30,900.96, 46,346.48 and 9,838.24 is: 14,755.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,900.96 : 46,346.48 = 9,838.24 : x
  2. Step 2: Convert to fraction form
    30,900.96/46,346.48 = 9,838.24/x
  3. Step 3: Cross multiply
    30,900.96x = 46,346.48 × 9,838.24
  4. Step 4: Simplify right side
    30,900.96x = 455,967,793.40
  5. Step 5: Solve for x
    x = 455,967,793.40/30,900.96
  6. Step 6: Final answer
    x = 14,755.78

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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.