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Finding the Fourth Proportional to 6,342.39, 9,485.64 and 5,761.08

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Solution

The fourth proportional to 6,342.39, 9,485.64 and 5,761.08 is: 8,616.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.39 : 9,485.64 = 5,761.08 : x
  2. Step 2: Convert to fraction form
    6,342.39/9,485.64 = 5,761.08/x
  3. Step 3: Cross multiply
    6,342.39x = 9,485.64 × 5,761.08
  4. Step 4: Simplify right side
    6,342.39x = 54,647,530.89
  5. Step 5: Solve for x
    x = 54,647,530.89/6,342.39
  6. Step 6: Final answer
    x = 8,616.24

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1.5x scale

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.