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Finding the Fourth Proportional to 6,305.67, 9,406.94 and 5,858.19

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Solution

The fourth proportional to 6,305.67, 9,406.94 and 5,858.19 is: 8,739.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.67 : 9,406.94 = 5,858.19 : x
  2. Step 2: Convert to fraction form
    6,305.67/9,406.94 = 5,858.19/x
  3. Step 3: Cross multiply
    6,305.67x = 9,406.94 × 5,858.19
  4. Step 4: Simplify right side
    6,305.67x = 55,107,612.55
  5. Step 5: Solve for x
    x = 55,107,612.55/6,305.67
  6. Step 6: Final answer
    x = 8,739.37

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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.