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Finding the Fourth Proportional to 3,597.56, 5,396.60 and 965.06

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Solution

The fourth proportional to 3,597.56, 5,396.60 and 965.06 is: 1,447.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.56 : 5,396.60 = 965.06 : x
  2. Step 2: Convert to fraction form
    3,597.56/5,396.60 = 965.06/x
  3. Step 3: Cross multiply
    3,597.56x = 5,396.60 × 965.06
  4. Step 4: Simplify right side
    3,597.56x = 5,208,042.80
  5. Step 5: Solve for x
    x = 5,208,042.80/3,597.56
  6. Step 6: Final answer
    x = 1,447.66

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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.