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Finding the Fourth Proportional to 6,907.50, 10,363.27 and 2,227.42

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Solution

The fourth proportional to 6,907.50, 10,363.27 and 2,227.42 is: 3,341.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.50 : 10,363.27 = 2,227.42 : x
  2. Step 2: Convert to fraction form
    6,907.50/10,363.27 = 2,227.42/x
  3. Step 3: Cross multiply
    6,907.50x = 10,363.27 × 2,227.42
  4. Step 4: Simplify right side
    6,907.50x = 23,083,332.92
  5. Step 5: Solve for x
    x = 23,083,332.92/6,907.50
  6. Step 6: Final answer
    x = 3,341.78

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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.