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Finding the Fourth Proportional to 7,847.92, 10,828.68 and 4,703.44

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Solution

The fourth proportional to 7,847.92, 10,828.68 and 4,703.44 is: 6,489.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.92 : 10,828.68 = 4,703.44 : x
  2. Step 2: Convert to fraction form
    7,847.92/10,828.68 = 4,703.44/x
  3. Step 3: Cross multiply
    7,847.92x = 10,828.68 × 4,703.44
  4. Step 4: Simplify right side
    7,847.92x = 50,932,046.66
  5. Step 5: Solve for x
    x = 50,932,046.66/7,847.92
  6. Step 6: Final answer
    x = 6,489.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.