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Finding the Fourth Proportional to 22,202.83, 33,304.58 and 7,411.83

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Solution

The fourth proportional to 22,202.83, 33,304.58 and 7,411.83 is: 11,117.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,202.83 : 33,304.58 = 7,411.83 : x
  2. Step 2: Convert to fraction form
    22,202.83/33,304.58 = 7,411.83/x
  3. Step 3: Cross multiply
    22,202.83x = 33,304.58 × 7,411.83
  4. Step 4: Simplify right side
    22,202.83x = 246,847,885.18
  5. Step 5: Solve for x
    x = 246,847,885.18/22,202.83
  6. Step 6: Final answer
    x = 11,117.86

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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.