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Finding the Fourth Proportional to 7,816.54, 11,724.86 and 3,199.54

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Solution

The fourth proportional to 7,816.54, 11,724.86 and 3,199.54 is: 4,799.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.54 : 11,724.86 = 3,199.54 : x
  2. Step 2: Convert to fraction form
    7,816.54/11,724.86 = 3,199.54/x
  3. Step 3: Cross multiply
    7,816.54x = 11,724.86 × 3,199.54
  4. Step 4: Simplify right side
    7,816.54x = 37,514,158.56
  5. Step 5: Solve for x
    x = 37,514,158.56/7,816.54
  6. Step 6: Final answer
    x = 4,799.33

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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.