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Finding the Fourth Proportional to 6,158.26, 9,242.25 and 4,297.29

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Solution

The fourth proportional to 6,158.26, 9,242.25 and 4,297.29 is: 6,449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.26 : 9,242.25 = 4,297.29 : x
  2. Step 2: Convert to fraction form
    6,158.26/9,242.25 = 4,297.29/x
  3. Step 3: Cross multiply
    6,158.26x = 9,242.25 × 4,297.29
  4. Step 4: Simplify right side
    6,158.26x = 39,716,628.50
  5. Step 5: Solve for x
    x = 39,716,628.50/6,158.26
  6. Step 6: Final answer
    x = 6,449.33

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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.