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Finding the Fourth Proportional to 6,992.50, 10,488.75 and 4,794.56

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Solution

The fourth proportional to 6,992.50, 10,488.75 and 4,794.56 is: 7,191.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.50 : 10,488.75 = 4,794.56 : x
  2. Step 2: Convert to fraction form
    6,992.50/10,488.75 = 4,794.56/x
  3. Step 3: Cross multiply
    6,992.50x = 10,488.75 × 4,794.56
  4. Step 4: Simplify right side
    6,992.50x = 50,288,967.42
  5. Step 5: Solve for x
    x = 50,288,967.42/6,992.50
  6. Step 6: Final answer
    x = 7,191.85

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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.