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Finding the Fourth Proportional to 6,230.51, 9,305.38 and 5,644.34

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Solution

The fourth proportional to 6,230.51, 9,305.38 and 5,644.34 is: 8,429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230.51 : 9,305.38 = 5,644.34 : x
  2. Step 2: Convert to fraction form
    6,230.51/9,305.38 = 5,644.34/x
  3. Step 3: Cross multiply
    6,230.51x = 9,305.38 × 5,644.34
  4. Step 4: Simplify right side
    6,230.51x = 52,522,723.97
  5. Step 5: Solve for x
    x = 52,522,723.97/6,230.51
  6. Step 6: Final answer
    x = 8,429.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.