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Finding the Fourth Proportional to 6,605.25, 9,904.74 and 3,832.77

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Solution

The fourth proportional to 6,605.25, 9,904.74 and 3,832.77 is: 5,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.25 : 9,904.74 = 3,832.77 : x
  2. Step 2: Convert to fraction form
    6,605.25/9,904.74 = 3,832.77/x
  3. Step 3: Cross multiply
    6,605.25x = 9,904.74 × 3,832.77
  4. Step 4: Simplify right side
    6,605.25x = 37,962,590.33
  5. Step 5: Solve for x
    x = 37,962,590.33/6,605.25
  6. Step 6: Final answer
    x = 5,747.34

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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.