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Finding the Fourth Proportional to 6,996.51, 10,499.22 and 2,614.14

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Solution

The fourth proportional to 6,996.51, 10,499.22 and 2,614.14 is: 3,922.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.51 : 10,499.22 = 2,614.14 : x
  2. Step 2: Convert to fraction form
    6,996.51/10,499.22 = 2,614.14/x
  3. Step 3: Cross multiply
    6,996.51x = 10,499.22 × 2,614.14
  4. Step 4: Simplify right side
    6,996.51x = 27,446,430.97
  5. Step 5: Solve for x
    x = 27,446,430.97/6,996.51
  6. Step 6: Final answer
    x = 3,922.87

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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.