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Finding the Fourth Proportional to 22,382.40, 33,572.16 and 6,800.16

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Solution

The fourth proportional to 22,382.40, 33,572.16 and 6,800.16 is: 10,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,382.40 : 33,572.16 = 6,800.16 : x
  2. Step 2: Convert to fraction form
    22,382.40/33,572.16 = 6,800.16/x
  3. Step 3: Cross multiply
    22,382.40x = 33,572.16 × 6,800.16
  4. Step 4: Simplify right side
    22,382.40x = 228,296,059.55
  5. Step 5: Solve for x
    x = 228,296,059.55/22,382.40
  6. Step 6: Final answer
    x = 10,199.80

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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.