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Finding the Fourth Proportional to 22,146.50, 33,219.87 and 5,730.50

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Solution

The fourth proportional to 22,146.50, 33,219.87 and 5,730.50 is: 8,595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,146.50 : 33,219.87 = 5,730.50 : x
  2. Step 2: Convert to fraction form
    22,146.50/33,219.87 = 5,730.50/x
  3. Step 3: Cross multiply
    22,146.50x = 33,219.87 × 5,730.50
  4. Step 4: Simplify right side
    22,146.50x = 190,366,465.04
  5. Step 5: Solve for x
    x = 190,366,465.04/22,146.50
  6. Step 6: Final answer
    x = 8,595.78

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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.