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Finding the Fourth Proportional to 7,736.92, 11,592.47 and 7,448.96

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Solution

The fourth proportional to 7,736.92, 11,592.47 and 7,448.96 is: 11,161.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736.92 : 11,592.47 = 7,448.96 : x
  2. Step 2: Convert to fraction form
    7,736.92/11,592.47 = 7,448.96/x
  3. Step 3: Cross multiply
    7,736.92x = 11,592.47 × 7,448.96
  4. Step 4: Simplify right side
    7,736.92x = 86,351,851.03
  5. Step 5: Solve for x
    x = 86,351,851.03/7,736.92
  6. Step 6: Final answer
    x = 11,161.01

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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.