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Finding the Fourth Proportional to 7,885.92, 11,803.37 and 5,805.48

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Solution

The fourth proportional to 7,885.92, 11,803.37 and 5,805.48 is: 8,689.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.92 : 11,803.37 = 5,805.48 : x
  2. Step 2: Convert to fraction form
    7,885.92/11,803.37 = 5,805.48/x
  3. Step 3: Cross multiply
    7,885.92x = 11,803.37 × 5,805.48
  4. Step 4: Simplify right side
    7,885.92x = 68,524,199.44
  5. Step 5: Solve for x
    x = 68,524,199.44/7,885.92
  6. Step 6: Final answer
    x = 8,689.44

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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.