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Finding the Fourth Proportional to 22,102.74, 33,156 and 7,311.24

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Solution

The fourth proportional to 22,102.74, 33,156 and 7,311.24 is: 10,967.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.74 : 33,156 = 7,311.24 : x
  2. Step 2: Convert to fraction form
    22,102.74/33,156 = 7,311.24/x
  3. Step 3: Cross multiply
    22,102.74x = 33,156 × 7,311.24
  4. Step 4: Simplify right side
    22,102.74x = 242,411,473.44
  5. Step 5: Solve for x
    x = 242,411,473.44/22,102.74
  6. Step 6: Final answer
    x = 10,967.49

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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.