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Finding the Fourth Proportional to 11,463.56, 15,812.99 and 7,207.87

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Solution

The fourth proportional to 11,463.56, 15,812.99 and 7,207.87 is: 9,942.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.56 : 15,812.99 = 7,207.87 : x
  2. Step 2: Convert to fraction form
    11,463.56/15,812.99 = 7,207.87/x
  3. Step 3: Cross multiply
    11,463.56x = 15,812.99 × 7,207.87
  4. Step 4: Simplify right side
    11,463.56x = 113,978,035.53
  5. Step 5: Solve for x
    x = 113,978,035.53/11,463.56
  6. Step 6: Final answer
    x = 9,942.64

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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.