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Finding the Fourth Proportional to 33,695.77, 50,535 and 9,997.71

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Solution

The fourth proportional to 33,695.77, 50,535 and 9,997.71 is: 14,994.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,695.77 : 50,535 = 9,997.71 : x
  2. Step 2: Convert to fraction form
    33,695.77/50,535 = 9,997.71/x
  3. Step 3: Cross multiply
    33,695.77x = 50,535 × 9,997.71
  4. Step 4: Simplify right side
    33,695.77x = 505,234,274.85
  5. Step 5: Solve for x
    x = 505,234,274.85/33,695.77
  6. Step 6: Final answer
    x = 14,994.00

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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.