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Finding the Fourth Proportional to 6,462.80, 9,694.25 and 3,539.51

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Solution

The fourth proportional to 6,462.80, 9,694.25 and 3,539.51 is: 5,309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.80 : 9,694.25 = 3,539.51 : x
  2. Step 2: Convert to fraction form
    6,462.80/9,694.25 = 3,539.51/x
  3. Step 3: Cross multiply
    6,462.80x = 9,694.25 × 3,539.51
  4. Step 4: Simplify right side
    6,462.80x = 34,312,894.82
  5. Step 5: Solve for x
    x = 34,312,894.82/6,462.80
  6. Step 6: Final answer
    x = 5,309.29

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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.