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Finding the Fourth Proportional to 6,553.66, 9,832.42 and 3,782.32

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Solution

The fourth proportional to 6,553.66, 9,832.42 and 3,782.32 is: 5,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.66 : 9,832.42 = 3,782.32 : x
  2. Step 2: Convert to fraction form
    6,553.66/9,832.42 = 3,782.32/x
  3. Step 3: Cross multiply
    6,553.66x = 9,832.42 × 3,782.32
  4. Step 4: Simplify right side
    6,553.66x = 37,189,358.81
  5. Step 5: Solve for x
    x = 37,189,358.81/6,553.66
  6. Step 6: Final answer
    x = 5,674.59

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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.