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Finding the Fourth Proportional to 22,364.61, 33,533.95 and 9,202.11

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Solution

The fourth proportional to 22,364.61, 33,533.95 and 9,202.11 is: 13,797.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,364.61 : 33,533.95 = 9,202.11 : x
  2. Step 2: Convert to fraction form
    22,364.61/33,533.95 = 9,202.11/x
  3. Step 3: Cross multiply
    22,364.61x = 33,533.95 × 9,202.11
  4. Step 4: Simplify right side
    22,364.61x = 308,583,096.63
  5. Step 5: Solve for x
    x = 308,583,096.63/22,364.61
  6. Step 6: Final answer
    x = 13,797.83

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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.