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Finding the Fourth Proportional to 22,471.44, 33,698.88 and 7,475.76

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Solution

The fourth proportional to 22,471.44, 33,698.88 and 7,475.76 is: 11,210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.44 : 33,698.88 = 7,475.76 : x
  2. Step 2: Convert to fraction form
    22,471.44/33,698.88 = 7,475.76/x
  3. Step 3: Cross multiply
    22,471.44x = 33,698.88 × 7,475.76
  4. Step 4: Simplify right side
    22,471.44x = 251,924,739.15
  5. Step 5: Solve for x
    x = 251,924,739.15/22,471.44
  6. Step 6: Final answer
    x = 11,210.89

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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.