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Finding the Fourth Proportional to 22,023.46, 33,038.62 and 7,229

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Solution

The fourth proportional to 22,023.46, 33,038.62 and 7,229 is: 10,844.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,023.46 : 33,038.62 = 7,229 : x
  2. Step 2: Convert to fraction form
    22,023.46/33,038.62 = 7,229/x
  3. Step 3: Cross multiply
    22,023.46x = 33,038.62 × 7,229
  4. Step 4: Simplify right side
    22,023.46x = 238,836,183.98
  5. Step 5: Solve for x
    x = 238,836,183.98/22,023.46
  6. Step 6: Final answer
    x = 10,844.63

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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.