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Finding the Fourth Proportional to 5,197.63, 7,796.84 and 1,734.88

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Solution

The fourth proportional to 5,197.63, 7,796.84 and 1,734.88 is: 2,602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.63 : 7,796.84 = 1,734.88 : x
  2. Step 2: Convert to fraction form
    5,197.63/7,796.84 = 1,734.88/x
  3. Step 3: Cross multiply
    5,197.63x = 7,796.84 × 1,734.88
  4. Step 4: Simplify right side
    5,197.63x = 13,526,581.78
  5. Step 5: Solve for x
    x = 13,526,581.78/5,197.63
  6. Step 6: Final answer
    x = 2,602.45

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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.