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Finding the Fourth Proportional to 5,296.11, 7,941.12 and 1,597.26

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Solution

The fourth proportional to 5,296.11, 7,941.12 and 1,597.26 is: 2,394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.11 : 7,941.12 = 1,597.26 : x
  2. Step 2: Convert to fraction form
    5,296.11/7,941.12 = 1,597.26/x
  3. Step 3: Cross multiply
    5,296.11x = 7,941.12 × 1,597.26
  4. Step 4: Simplify right side
    5,296.11x = 12,684,033.33
  5. Step 5: Solve for x
    x = 12,684,033.33/5,296.11
  6. Step 6: Final answer
    x = 2,394.97

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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.