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Finding the Fourth Proportional to 7,882.92, 11,803.73 and 6,647.27

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Solution

The fourth proportional to 7,882.92, 11,803.73 and 6,647.27 is: 9,953.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.92 : 11,803.73 = 6,647.27 : x
  2. Step 2: Convert to fraction form
    7,882.92/11,803.73 = 6,647.27/x
  3. Step 3: Cross multiply
    7,882.92x = 11,803.73 × 6,647.27
  4. Step 4: Simplify right side
    7,882.92x = 78,462,488.06
  5. Step 5: Solve for x
    x = 78,462,488.06/7,882.92
  6. Step 6: Final answer
    x = 9,953.48

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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.