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Finding the Fourth Proportional to 7,924.68, 11,896.74 and 7,263.72

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Solution

The fourth proportional to 7,924.68, 11,896.74 and 7,263.72 is: 10,904.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.68 : 11,896.74 = 7,263.72 : x
  2. Step 2: Convert to fraction form
    7,924.68/11,896.74 = 7,263.72/x
  3. Step 3: Cross multiply
    7,924.68x = 11,896.74 × 7,263.72
  4. Step 4: Simplify right side
    7,924.68x = 86,414,588.27
  5. Step 5: Solve for x
    x = 86,414,588.27/7,924.68
  6. Step 6: Final answer
    x = 10,904.49

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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.