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Finding the Fourth Proportional to 7,812.13, 11,704.53 and 6,504.29

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Solution

The fourth proportional to 7,812.13, 11,704.53 and 6,504.29 is: 9,745.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.13 : 11,704.53 = 6,504.29 : x
  2. Step 2: Convert to fraction form
    7,812.13/11,704.53 = 6,504.29/x
  3. Step 3: Cross multiply
    7,812.13x = 11,704.53 × 6,504.29
  4. Step 4: Simplify right side
    7,812.13x = 76,129,673.69
  5. Step 5: Solve for x
    x = 76,129,673.69/7,812.13
  6. Step 6: Final answer
    x = 9,745.06

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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.