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Finding the Fourth Proportional to 6,842.92, 10,282.60 and 3,725.22

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Solution

The fourth proportional to 6,842.92, 10,282.60 and 3,725.22 is: 5,597.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.92 : 10,282.60 = 3,725.22 : x
  2. Step 2: Convert to fraction form
    6,842.92/10,282.60 = 3,725.22/x
  3. Step 3: Cross multiply
    6,842.92x = 10,282.60 × 3,725.22
  4. Step 4: Simplify right side
    6,842.92x = 38,304,947.17
  5. Step 5: Solve for x
    x = 38,304,947.17/6,842.92
  6. Step 6: Final answer
    x = 5,597.75

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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.