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Finding the Fourth Proportional to 9,296.42, 13,944.03 and 2,722.42

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Solution

The fourth proportional to 9,296.42, 13,944.03 and 2,722.42 is: 4,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.42 : 13,944.03 = 2,722.42 : x
  2. Step 2: Convert to fraction form
    9,296.42/13,944.03 = 2,722.42/x
  3. Step 3: Cross multiply
    9,296.42x = 13,944.03 × 2,722.42
  4. Step 4: Simplify right side
    9,296.42x = 37,961,506.15
  5. Step 5: Solve for x
    x = 37,961,506.15/9,296.42
  6. Step 6: Final answer
    x = 4,083.45

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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.