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Finding the Fourth Proportional to 22,206.50, 33,309.76 and 5,790.50

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Solution

The fourth proportional to 22,206.50, 33,309.76 and 5,790.50 is: 8,685.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,206.50 : 33,309.76 = 5,790.50 : x
  2. Step 2: Convert to fraction form
    22,206.50/33,309.76 = 5,790.50/x
  3. Step 3: Cross multiply
    22,206.50x = 33,309.76 × 5,790.50
  4. Step 4: Simplify right side
    22,206.50x = 192,880,165.28
  5. Step 5: Solve for x
    x = 192,880,165.28/22,206.50
  6. Step 6: Final answer
    x = 8,685.75

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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.