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Finding the Fourth Proportional to 7,660.92, 11,490.12 and 4,757.16

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Solution

The fourth proportional to 7,660.92, 11,490.12 and 4,757.16 is: 7,134.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.92 : 11,490.12 = 4,757.16 : x
  2. Step 2: Convert to fraction form
    7,660.92/11,490.12 = 4,757.16/x
  3. Step 3: Cross multiply
    7,660.92x = 11,490.12 × 4,757.16
  4. Step 4: Simplify right side
    7,660.92x = 54,660,339.26
  5. Step 5: Solve for x
    x = 54,660,339.26/7,660.92
  6. Step 6: Final answer
    x = 7,134.96

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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.