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Finding the Fourth Proportional to 8,201.80, 12,302.70 and 5,696.20

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Solution

The fourth proportional to 8,201.80, 12,302.70 and 5,696.20 is: 8,544.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.80 : 12,302.70 = 5,696.20 : x
  2. Step 2: Convert to fraction form
    8,201.80/12,302.70 = 5,696.20/x
  3. Step 3: Cross multiply
    8,201.80x = 12,302.70 × 5,696.20
  4. Step 4: Simplify right side
    8,201.80x = 70,078,639.74
  5. Step 5: Solve for x
    x = 70,078,639.74/8,201.80
  6. Step 6: Final answer
    x = 8,544.30

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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.