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Finding the Fourth Proportional to 6,842.57, 10,263.78 and 2,225.57

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Solution

The fourth proportional to 6,842.57, 10,263.78 and 2,225.57 is: 3,338.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.57 : 10,263.78 = 2,225.57 : x
  2. Step 2: Convert to fraction form
    6,842.57/10,263.78 = 2,225.57/x
  3. Step 3: Cross multiply
    6,842.57x = 10,263.78 × 2,225.57
  4. Step 4: Simplify right side
    6,842.57x = 22,842,709.54
  5. Step 5: Solve for x
    x = 22,842,709.54/6,842.57
  6. Step 6: Final answer
    x = 3,338.33

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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.