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Finding the Fourth Proportional to 7,757.92, 11,653.44 and 7,405.48

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Solution

The fourth proportional to 7,757.92, 11,653.44 and 7,405.48 is: 11,124.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.92 : 11,653.44 = 7,405.48 : x
  2. Step 2: Convert to fraction form
    7,757.92/11,653.44 = 7,405.48/x
  3. Step 3: Cross multiply
    7,757.92x = 11,653.44 × 7,405.48
  4. Step 4: Simplify right side
    7,757.92x = 86,299,316.85
  5. Step 5: Solve for x
    x = 86,299,316.85/7,757.92
  6. Step 6: Final answer
    x = 11,124.03

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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.