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Finding the Fourth Proportional to 6,270.24, 8,659.38 and 5,426.89

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Solution

The fourth proportional to 6,270.24, 8,659.38 and 5,426.89 is: 7,494.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.24 : 8,659.38 = 5,426.89 : x
  2. Step 2: Convert to fraction form
    6,270.24/8,659.38 = 5,426.89/x
  3. Step 3: Cross multiply
    6,270.24x = 8,659.38 × 5,426.89
  4. Step 4: Simplify right side
    6,270.24x = 46,993,502.73
  5. Step 5: Solve for x
    x = 46,993,502.73/6,270.24
  6. Step 6: Final answer
    x = 7,494.69

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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.