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Finding the Fourth Proportional to 7,832.82, 10,808.73 and 4,295.46

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Solution

The fourth proportional to 7,832.82, 10,808.73 and 4,295.46 is: 5,927.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.82 : 10,808.73 = 4,295.46 : x
  2. Step 2: Convert to fraction form
    7,832.82/10,808.73 = 4,295.46/x
  3. Step 3: Cross multiply
    7,832.82x = 10,808.73 × 4,295.46
  4. Step 4: Simplify right side
    7,832.82x = 46,428,467.37
  5. Step 5: Solve for x
    x = 46,428,467.37/7,832.82
  6. Step 6: Final answer
    x = 5,927.43

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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.