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Finding the Fourth Proportional to 7,040.67, 9,712.22 and 4,523.14

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Solution

The fourth proportional to 7,040.67, 9,712.22 and 4,523.14 is: 6,239.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.67 : 9,712.22 = 4,523.14 : x
  2. Step 2: Convert to fraction form
    7,040.67/9,712.22 = 4,523.14/x
  3. Step 3: Cross multiply
    7,040.67x = 9,712.22 × 4,523.14
  4. Step 4: Simplify right side
    7,040.67x = 43,929,720.30
  5. Step 5: Solve for x
    x = 43,929,720.30/7,040.67
  6. Step 6: Final answer
    x = 6,239.43

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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.