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Finding the Fourth Proportional to 6,525.82, 9,782.16 and 3,751.66

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Solution

The fourth proportional to 6,525.82, 9,782.16 and 3,751.66 is: 5,623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.82 : 9,782.16 = 3,751.66 : x
  2. Step 2: Convert to fraction form
    6,525.82/9,782.16 = 3,751.66/x
  3. Step 3: Cross multiply
    6,525.82x = 9,782.16 × 3,751.66
  4. Step 4: Simplify right side
    6,525.82x = 36,699,338.39
  5. Step 5: Solve for x
    x = 36,699,338.39/6,525.82
  6. Step 6: Final answer
    x = 5,623.71

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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.