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Finding the Fourth Proportional to 22,103.92, 33,160.87 and 7,312.80

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Solution

The fourth proportional to 22,103.92, 33,160.87 and 7,312.80 is: 10,970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,103.92 : 33,160.87 = 7,312.80 : x
  2. Step 2: Convert to fraction form
    22,103.92/33,160.87 = 7,312.80/x
  3. Step 3: Cross multiply
    22,103.92x = 33,160.87 × 7,312.80
  4. Step 4: Simplify right side
    22,103.92x = 242,498,810.14
  5. Step 5: Solve for x
    x = 242,498,810.14/22,103.92
  6. Step 6: Final answer
    x = 10,970.85

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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.