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Finding the Fourth Proportional to 6,734.09, 9,292.90 and 3,709.29

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Solution

The fourth proportional to 6,734.09, 9,292.90 and 3,709.29 is: 5,118.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.09 : 9,292.90 = 3,709.29 : x
  2. Step 2: Convert to fraction form
    6,734.09/9,292.90 = 3,709.29/x
  3. Step 3: Cross multiply
    6,734.09x = 9,292.90 × 3,709.29
  4. Step 4: Simplify right side
    6,734.09x = 34,470,065.73
  5. Step 5: Solve for x
    x = 34,470,065.73/6,734.09
  6. Step 6: Final answer
    x = 5,118.75

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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.