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Finding the Fourth Proportional to 5,461.73, 8,194.19 and 1,763.87

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Solution

The fourth proportional to 5,461.73, 8,194.19 and 1,763.87 is: 2,646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.73 : 8,194.19 = 1,763.87 : x
  2. Step 2: Convert to fraction form
    5,461.73/8,194.19 = 1,763.87/x
  3. Step 3: Cross multiply
    5,461.73x = 8,194.19 × 1,763.87
  4. Step 4: Simplify right side
    5,461.73x = 14,453,436.13
  5. Step 5: Solve for x
    x = 14,453,436.13/5,461.73
  6. Step 6: Final answer
    x = 2,646.31

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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.