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Finding the Fourth Proportional to 7,727.87, 11,582.08 and 5,540.87

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Solution

The fourth proportional to 7,727.87, 11,582.08 and 5,540.87 is: 8,304.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.87 : 11,582.08 = 5,540.87 : x
  2. Step 2: Convert to fraction form
    7,727.87/11,582.08 = 5,540.87/x
  3. Step 3: Cross multiply
    7,727.87x = 11,582.08 × 5,540.87
  4. Step 4: Simplify right side
    7,727.87x = 64,174,727.85
  5. Step 5: Solve for x
    x = 64,174,727.85/7,727.87
  6. Step 6: Final answer
    x = 8,304.33

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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.