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Finding the Fourth Proportional to 35,738.80, 53,608.20 and 9,446.20

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Solution

The fourth proportional to 35,738.80, 53,608.20 and 9,446.20 is: 14,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,738.80 : 53,608.20 = 9,446.20 : x
  2. Step 2: Convert to fraction form
    35,738.80/53,608.20 = 9,446.20/x
  3. Step 3: Cross multiply
    35,738.80x = 53,608.20 × 9,446.20
  4. Step 4: Simplify right side
    35,738.80x = 506,393,778.84
  5. Step 5: Solve for x
    x = 506,393,778.84/35,738.80
  6. Step 6: Final answer
    x = 14,169.30

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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.