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Finding the Fourth Proportional to 7,992.63, 11,974.35 and 4,464.27

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Solution

The fourth proportional to 7,992.63, 11,974.35 and 4,464.27 is: 6,688.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992.63 : 11,974.35 = 4,464.27 : x
  2. Step 2: Convert to fraction form
    7,992.63/11,974.35 = 4,464.27/x
  3. Step 3: Cross multiply
    7,992.63x = 11,974.35 × 4,464.27
  4. Step 4: Simplify right side
    7,992.63x = 53,456,731.47
  5. Step 5: Solve for x
    x = 53,456,731.47/7,992.63
  6. Step 6: Final answer
    x = 6,688.25

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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.