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Finding the Fourth Proportional to 22,381.92, 33,573.63 and 6,799.50

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Solution

The fourth proportional to 22,381.92, 33,573.63 and 6,799.50 is: 10,199.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,381.92 : 33,573.63 = 6,799.50 : x
  2. Step 2: Convert to fraction form
    22,381.92/33,573.63 = 6,799.50/x
  3. Step 3: Cross multiply
    22,381.92x = 33,573.63 × 6,799.50
  4. Step 4: Simplify right side
    22,381.92x = 228,283,897.19
  5. Step 5: Solve for x
    x = 228,283,897.19/22,381.92
  6. Step 6: Final answer
    x = 10,199.48

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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.