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Finding the Fourth Proportional to 6,267.06, 8,648.16 and 3,578.82

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Solution

The fourth proportional to 6,267.06, 8,648.16 and 3,578.82 is: 4,938.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.06 : 8,648.16 = 3,578.82 : x
  2. Step 2: Convert to fraction form
    6,267.06/8,648.16 = 3,578.82/x
  3. Step 3: Cross multiply
    6,267.06x = 8,648.16 × 3,578.82
  4. Step 4: Simplify right side
    6,267.06x = 30,950,207.97
  5. Step 5: Solve for x
    x = 30,950,207.97/6,267.06
  6. Step 6: Final answer
    x = 4,938.55

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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.