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Finding the Fourth Proportional to 6,133.89, 9,242.18 and 5,062.26

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Solution

The fourth proportional to 6,133.89, 9,242.18 and 5,062.26 is: 7,627.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.89 : 9,242.18 = 5,062.26 : x
  2. Step 2: Convert to fraction form
    6,133.89/9,242.18 = 5,062.26/x
  3. Step 3: Cross multiply
    6,133.89x = 9,242.18 × 5,062.26
  4. Step 4: Simplify right side
    6,133.89x = 46,786,292.82
  5. Step 5: Solve for x
    x = 46,786,292.82/6,133.89
  6. Step 6: Final answer
    x = 7,627.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.