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Finding the Fourth Proportional to 9,241.76, 13,867.68 and 5,353.76

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Solution

The fourth proportional to 9,241.76, 13,867.68 and 5,353.76 is: 8,033.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.76 : 13,867.68 = 5,353.76 : x
  2. Step 2: Convert to fraction form
    9,241.76/13,867.68 = 5,353.76/x
  3. Step 3: Cross multiply
    9,241.76x = 13,867.68 × 5,353.76
  4. Step 4: Simplify right side
    9,241.76x = 74,244,230.48
  5. Step 5: Solve for x
    x = 74,244,230.48/9,241.76
  6. Step 6: Final answer
    x = 8,033.56

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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.