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Finding the Fourth Proportional to 7,241.40, 9,993.78 and 4,255.74

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Solution

The fourth proportional to 7,241.40, 9,993.78 and 4,255.74 is: 5,873.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.40 : 9,993.78 = 4,255.74 : x
  2. Step 2: Convert to fraction form
    7,241.40/9,993.78 = 4,255.74/x
  3. Step 3: Cross multiply
    7,241.40x = 9,993.78 × 4,255.74
  4. Step 4: Simplify right side
    7,241.40x = 42,530,929.30
  5. Step 5: Solve for x
    x = 42,530,929.30/7,241.40
  6. Step 6: Final answer
    x = 5,873.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.