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Finding the Fourth Proportional to 6,490.68, 9,727.38 and 4,833.96

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Solution

The fourth proportional to 6,490.68, 9,727.38 and 4,833.96 is: 7,244.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.68 : 9,727.38 = 4,833.96 : x
  2. Step 2: Convert to fraction form
    6,490.68/9,727.38 = 4,833.96/x
  3. Step 3: Cross multiply
    6,490.68x = 9,727.38 × 4,833.96
  4. Step 4: Simplify right side
    6,490.68x = 47,021,765.82
  5. Step 5: Solve for x
    x = 47,021,765.82/6,490.68
  6. Step 6: Final answer
    x = 7,244.51

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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.