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Finding the Fourth Proportional to 9,241.56, 13,849.24 and 7,151.84

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Solution

The fourth proportional to 9,241.56, 13,849.24 and 7,151.84 is: 10,717.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.56 : 13,849.24 = 7,151.84 : x
  2. Step 2: Convert to fraction form
    9,241.56/13,849.24 = 7,151.84/x
  3. Step 3: Cross multiply
    9,241.56x = 13,849.24 × 7,151.84
  4. Step 4: Simplify right side
    9,241.56x = 99,047,527.14
  5. Step 5: Solve for x
    x = 99,047,527.14/9,241.56
  6. Step 6: Final answer
    x = 10,717.62

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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.