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Finding the Fourth Proportional to 7,884.89, 11,806.84 and 7,651.16

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Solution

The fourth proportional to 7,884.89, 11,806.84 and 7,651.16 is: 11,456.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.89 : 11,806.84 = 7,651.16 : x
  2. Step 2: Convert to fraction form
    7,884.89/11,806.84 = 7,651.16/x
  3. Step 3: Cross multiply
    7,884.89x = 11,806.84 × 7,651.16
  4. Step 4: Simplify right side
    7,884.89x = 90,335,995.22
  5. Step 5: Solve for x
    x = 90,335,995.22/7,884.89
  6. Step 6: Final answer
    x = 11,456.84

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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.